won't bother me any

(It) won't bother me any.

 and (It) won't bother me at all.
Inf. It will not trouble me at all.; I have no objection if you wish to do that. (Not very polite or cordial. For the present tense of this expression, see also (It) doesn't bother me any.) John: Will you mind if I sit here? Jane: Won't bother me any. Sally (lighting a cigarette): Do you mind if I smoke? Bill: It won't bother me at all.
See also: any, bother