Zetterberg, a high-scoring left-wing from Sweden, missed the last 19 games of the regular season with an inflamed disk in his back after being told he would be out for two or three weeks.
"It's been longer than I thought, but I'm really glad to be back," he said.
Bertuzzi did not play in the regular-season finale because of a concussion.
"I don't think he has any chance of playing tomorrow," Red Wings coach Mike Babcock said Wednesday. "If he's feeling better, we think he'll have an opportunity to play on Sunday."
The Red Wings acquired Bertuzzi from Florida on Feb. 27 - just before the NHL's trading deadline. The left-wing missed 10 games with a back injury before playing in eight.
Zetterberg led the Western Conference-leading Red Wings with 33 goals and had 68 points, despite missing nearly a quarter of the regular season.
After watching him practise recently, Babcock does not plan on slowly working Zetterberg back into his four-line rotation.
"Zetterberg has been skating for three weeks, flying around," Babcock said. "I've been asking our trainer for 2½ weeks, 'How can anyone skate that fast, shoot the puck that good, how come he can't play?' That's why coaches don't make those decisions.
"He's going to play, and he's going to play lots."