While in the Southern League in 1994, Fletcher was involved in two arguments with Michael Jordan, during the basketball star's lone season with the Birmingham Barons. One of the two confrontations ended with the ejection of Barons manager Terry Francona.[3]
On June 25, 2015, Fletcher was involved in an infamous altercation with Chicago Cubs pitcher Jon Lester. According to Lester, the pitcher yelled at himself in frustration for issuing ball four to A.J. Ellis of the Dodgers. Fletcher interpreted Lester's exclamation as directed at his strike-calling and began to make his way to the mound, yelling at Lester. Catcher David Ross blocked his path (at one point inadvertently making contact with Fletcher) trying to calm him down. This occurred unbeknownst to Lester, who had walked behind the mound and still had his back turned. A perplexed Lester turned to see manager Joe Maddon running out to confront Fletcher. Maddon and Fletcher exchanged heated words for an extended time, yet Fletcher never threw any of the players or the manager out.[5]
On September 7, 2018, Fletcher was the home plate umpire in a controversial game between the Colorado Rockies and the Los Angeles Dodgers, in which his strike zone drew backlash from both teams and their commentating crew, including Jeff Huson of the Rockies and Orel Hershiser of the Dodgers. Fletcher ejected Colorado manager Bud Black for arguing a questionable balk call in the fifth inning of the game.[6][7]