New York went ahead shortly thereafter on a tic-tac-toe passing play for a power-play goal. Just as the Rangers came across the blue line, Panarin found Zibanejad with a cross-seam pass in the left circle. Zibanejad then quickly zipped it to Trocheck in front of the net, who tapped it to give the Rangers the early lead.
Anaheim conceded three power-play goals for the second time in three games after only doing so twice in the 2021-22 campaign.
Trocheck has five points in four games to start the season, his first as a Ranger after signing a seven-year contract as a free agent in July.
Gibson kept it a one-goal game temporarily with a couple of point-blank saves minutes later, highlighted by a breakaway denial of Panarin after Shesterkin had sprung the Rangers' leading scorer with a stretch pass following an Anaheim dump-in.
The Ducks would take a penalty in the subsequent scramble in their defensive zone though and once again the Rangers would make them pay, this time with Panarin setting up Zibanejad on the backdoor.
Panarin has seven points in his last two games against Anaheim.
The Ducks got back in the game on a laser of a shot by Vatrano, a milestone marker in more ways than one. Playing his first game back in New York after signing with Anaheim this offseason, Vatrano tracked down an area pass by Lundestrom, playing catch with Regenda before stepping in and burying a wrister over Shesterkin's shoulder from just off the wall.