No matter how much you dislike someone, you should supress your feeling and try and get along with them.
英語では、「どんなに嫌いな人とでも我慢して付き合わなければ(なりません)」は「No matter how much you dislike someone, you should suppress your feeling and try and get along with them.」となります。
どんなに嫌いな人とでも = No matter how much you dislike someone
我慢して = suppress your feelings
付き合う = get along with
お役に立てば幸いです。