Perron, who had 46 points (18 goals, 28 assists) in 82 games with the Blues last season, has been working effectively with center Cody Eakin, who had 12 points (three goals, nine assists) in 60 games with the Stars.
"He's a pretty easy player to play with, a hard worker and good on faceoffs," Perron said. "He does everything right on the ice and I think he's a guy I have chemistry with right away.
"He's made some good plays throughout the preseason. Obviously we need to translate that through regular season. I hope it keeps going that way, because it's been going well since I've been playing with him."
The third member of the line in recent preseason games has been forward William Karlsson, who had 25 points (six goals, 19 assists) in 81 games with the Columbus Blue Jackets.
"[Eakin] can adjust to the wing little bit easier than William, who is a younger player (24 to Eakin's 26) and used to playing center more," Perron said. "It would be nice if we could develop some chemistry there."
Perron was fifth on the Blues in scoring last season. His NHL career highs in goals (28) and points (57) came with the Oilers in 2013-14.
The Golden Knights have one preseason game remaining, on Sunday, hosting the San Jose Sharks at T-Mobile Arena (8 p.m. ET; NHLN, ATTSN-RM, NHL.TV).
"I'm just happy to be part of this franchise and looking to work toward building something here," Perron said. "The key for us will be to know what type of team we have and not go away from that."