How do you satisfy a customer who wants something against the company's policy?

The customer always respect the company which respect its policy.
Note that not every customer will accept one thing against the company policy, It may ask for second and third request against the policy.
You can ask your manager about the limits you must not exceed.
Except that you can meet the customer requests.

when the customer need something againts the company policy maybe he dont know what he is realy want so the task of the marketer is to identify new needs for this customer and offer him new modified product or service by discuss alot with the customer to finaly reach win win situation .

Through persuade him to company policy, it includes a group and not an individual one and also that he be after studying politics and be making its elements with the ability to solve all the problems of this decision Also clarify the company's policy from the point of view of the company and what are the desired results of this policy

I have to compar between the company brand image and customer opinion.
I really found it as a fantastic chance to get customer satisfaction after explaining of company policy.
what I believe that is the policy can be change to keep the customer satisfied

As long as it is against company policy so you can not do it.
Give him another option/s that make him feel better and tell him frankly if you did this will harm you directly and if he is in good terms with you he will not accept to harm you

It is important to inform and educate customers about company policies related to product and/or services.
If a customer expects an exception to be made - one needs to understand if the customer has a valid reason for asking for an exception to company policies.
Company Policies can't be altered for every customer in a huge customer database, however there can be certain exceptions to policies depending on very unusual customer experiences.
Eg - if the customer is irate and is very unhappy with the product and services provided to him/her Sometimes companies authorize certain supervisors to make limited exceptions based on irate customers experience (Only Applicable at the companies discretion).
Employees must ask their supervisors to deal with such customers

my starting point would be the customer's need, and keep trying to modify it till it reaches the company's policy or offering similar options providing the same thing the customer is asking for, therefore I could be able to satisfy my customer needs in a different way without any conflicts with the company's policy.

Explain to the customer the company policy concerning what he desires and assure him that you will address his desires to the management so as his views my as well be considered.

This depends on the customers request.
if it is legal, it is something you can table before the management to know the customer's request and the benefit the company will derive from the request, and tell the customer that you will get back to him/her.
and if it is not what the company can do, politely tell the customer that " we are sorry sir, this transaction cannot go through.
Thanks for choosing our company we will be very glad to assist some other time."

Apologize to the customer and tell him its against our policy and give him an example of his own property ofcurse he wont want that any one break the rules against him so the same way the rules wont be broke for him

IN My View, itz very crucial to listen your customer First.....
Selling is nothing but providing a Solution to a customer, but here is the catch...Selling should not be at the cost of compromising on "ETHICS"....soo the Question is what else can we do so that we dont loose our custmer & business as well as we do not compromise on code of conduct & business Ethics.....here is the chance to show your metel as a Saleman....you will get a Business or NOT....Now it depends on how you demonstrate your salemanship skills while sharing all Do's & dont's you can do for him....emphasis more on What you & your company can DO / or what Your Company has for "HIM" to nurture his skills or how you can provide support to his business or how is your product can be usefull to his customer & good for his business........He will Buy my Product or my Views, i am damm sure.
Reason :- 1.Customer also knows what he is asking does not comes under "Ethical Practice" 2.
if your product is good & you demonstrate his features & Benefits to him...he will buy.
3.
Selling is an art....when customer is asking for something against the company ......Make sure you say...." Sir if other company is offering you this kind of "OFFERINGS" which not come under my policy you can go for it.....but my product is the "BEST" & i cant compromise..." this will surely impact....
4.
Share him if somebody offers you more at the cost of Compromising Products Quality...Would you be intrested to buy....if yes then sorry my product is not for you.......
Believe my Some times PSYCLOGICAL GAMES in Selling works better then anything else ....."NEVER SAY NO TO Custmoers....BUt mind it NEVER Say YES too........." try to end WIN -WIN situation...