After a standout high school career in Connecticut, Arcobello went to Yale before signing with the Edmonton Oilers in 2011. After 42 games in parts of two N.H.L. seasons, Arcobello started his fourth campaign in Edmonton’s organization this season. But after 36 games with the last-place Oilers, he was traded to the Nashville Predators, one of the best teams in the Western Conference, on Dec. 29.

Two weeks and four games later, Arcobello was placed on waivers and claimed by the Pittsburgh Penguins on Jan. 14. The Penguins had been bitten by a rash of injuries to forwards and kept Arcobello for 10 games. When Patric Hornqvist and Blake Comeau returned, Arcobello was again placed on waivers. He was picked up by the Coyotes on Feb. 11.

Although Arcobello has been living in hotels since his trade from Edmonton, he is developing continuity. Despite the Coyotes’ seven-game losing streak, he has four goals in his six games entering Thursday night’s contest against the Rangers.

“He’s been opportunistic around the net,” Coyotes Coach Dave Tippett said. “He’s getting some opportunity to play, and he’s capitalized on his chances.”

Arcobello has played for four teams and six coaches, but he found a rare familiar face in Arizona. Sam Gagner was his teammate in Edmonton last season before Gagner was traded twice in the off-season and landed with the Coyotes. Gagner helped Arcobello acclimate to Arizona’s dressing room.