Plawecki was batting seventh against Atlanta on Tuesday night. New York entered with an eight-game winning streak.
D'Arnaud will be out more than three weeks because a broken right little finger after he was hit by a pitch. Blevins miss at least six weeks after a line drive broke his left forearm.
Plawecki is highly regarded by the Mets. He was drafted in 2012 with a compensation pick the Mets got for losing Jose Reyes to free agency. Plawecki said he went to dinner with d'Arnaud on Monday night.
''He just told me that I was ready,'' Plawecki said.
Mets manager Terry Collins said Anthony Recker would remain in the role of backup catcher.
''You bring a prospect to the big leagues, they play,'' Collins said.