Chapman said the pitch was not intentional and he is appealing the suspension.
"I think it was a little harsh," Chapman said. "That's the reason I'm going to appeal."
He also was fined by MLB.
Yankees manager Aaron Boone and Rays manager Kevin Cash, who was ejected during the game, both received one-game suspensions and also were fined undisclosed amounts.
"I don't think I should be sitting out tonight, nor Chappy, but I do respect the process and the thoroughness and the care that they gave to kind of walk it through this," Boone said. "I accept it but I certainly don't agree with it."
Following the game, Cash said that someone has to be accountable, adding, "And the last thing I'll say on this is I got a whole stable full of guys that throw 98 mph. Period."
"It's fair, warranted," Cash said of his suspension.
ASSOCIATED PRESS