Shane Gillis dominated headlines Thursday morning after his -- hilarious to some, infuriating to others -- ESPYS monologue ... and TMZ Sports has learned the folks at ESPN aren't entertaining what the naysayers are spewin'.
A source with direct knowledge tells us … ESPN appreciated all of Shane's hard work on the show ... which included a live monologue that poked fun at several high-profile athletes, including Caitlin Clark and Megan Rapinoe.