Prozac is an SSRI, an doesn't react badly with nearly any food including meat. However Prozac may react badly with some supplements such as 5htp or st johns wort. Trytophan containing foods such as chicken, beef, eggs, bananas are fine to eat whilst on prozac.
It is MAOI antidepressants that react badly with many types of food, so be careful if you are prescribed one of these.