Alex Rodriguez -- Chickens Out During Hooters Run

With his career in jeopardy and cheating allegations swirling ... Alex Rodriguez found comfort at a Hooters in Florida this weekend ... TMZ has learned.

We've confirmed ... A-Rod and a lady friend walked in to the chicken joint in Sarasota, Florida this weekend and went to town on chicken wings.

Hooters sources ... yeah, we got those ... tell us A-Rod and his woman woofed down a total of 20 wings (medium sauce) along with an order of curly fries ... and washed it down with a soda and an unsweetened tea.

We're told A-rod left a pretty great tip and was super nice to everyone in the restaurant.

Unclear if either Alex or the chickens tested positive for growth hormones.