Jakub Vrana gave Detroit a 2-1 lead on the power play at 17:23, his seventh goal in 11 games since returning from shoulder surgery, but Filip Chytil tied it 2-2 11 seconds later, at 17:34.
Tyler Bertuzzi gave the Red Wings a 3-2 lead on the power play 29 seconds into the second period before Panarin tied it 3-3 at 12:15.
"We've had a lot of games like this, and we've turned a lot of them back to our side," Panarin said. "But we can't always do that, so we have to be better than this."
Adam Erne gave the Red Wings their third lead of the game, 4-3 at 5:56 of the third period before Kreider's tying goal deflected in off Seider's skate.
"We have to find a way to kill that last penalty, that's just the reality of this league," Detroit coach Jeff Blashill said. "It didn't look like they could get anything past [Nedeljkovic] late in the game, but they got one off a skate and one off a missed assignment in overtime."
NOTES:Panarin has scored eight points (two goals, six assists) in a five-game point streak and has scored 24 points (10 goals, 14 assists) in 15 career games against the Red Wings. … Rangers center Mika Zibanejad had his 44th assist to tie his NHL career high from 2018-19. … Copp extended his point streak to five games (two goals, five assists) since he was acquired in a trade with the Winnipeg Jets on March 21. … Red Wings defenseman Danny DeKeyser had an assist in 19:47 after missing 10 games with an undisclosed injury. … Detroit forward Lucas Raymond had an assist for his 50th point, the second rookie this season to score 50 points (Michael Bunting, Toronto Maple Leafs, 20-31-51). … Raymond (20 goals, 30 assists) is the fourth Red Wings player to score 50 or more points in a season before the age of 21, joining Steve Yzerman (1983-84, 1984-85), Mark Osborne (1981-82) and Marcel Dionne (1971-72). … Gallant started Copp, Trouba and Tyler Motte, all Michigan natives who played for the USA Hockey National Team Development Program in suburban Detroit before playing college hockey at the University of Michigan. A fourth starter, defenseman K'Andre Miller, also played for the NTDP.