K'Andre Miller scored, and Igor Shesterkin made 31 saves for the Rangers (31-13-5), who had their three-game winning streak end. They lost at home for the second time in 10 games since Jan. 2 (8-1-1).
"The second half of the game, I liked our game, but the first half we came real flat, obviously, and Detroit took it to us pretty good," Rangers coach Gerard Gallant said. "It should have been more than 1-0 but [Shesterkin] played real good. But the second half we played good enough to get back in. We probably got the one point we deserved, but no more."
Zibanejad tied the game 2-2 on the power play at 11:51 with a one-timer from the left circle off a pass from Adam Fox, who was tripped behind the Rangers net by Robby Fabbri 34 seconds earlier.
Blashill said he thought the Red Wings were better after Zibanejad's goal than they were prior to it.
"We did this well, we got pucks out," Blashill said. "That's something we continue to harp on. We defended too much but we did get pucks out. I thought we were better as the period went along."
Larkin gave the Red Wings a 2-1 lead at 13:48 of the second period, 90 seconds after Miller scored to tie it 1-1 at 12:18.
Danny DeKeyser's shot from the left point went wide and banked off the end boards. The puck came out to Larkin at the bottom of the right circle. He one-timed it high to the short side and the puck went in off the tip of Shesterkin's glove.
"It is the power of shooting the puck," Blashill said. "It's something that we've tried to get across to our players, shots create chaos."