A big part of Chytil's success in the playoffs came when he was playing with Kakko and Lafreniere. Gallant said New York's "Kid Line" could be reunited this season.
Sammy Blais and Vitali Kravtsov are also candidates to play with Chytil on the third line or anywhere in the top-nine forward group. Barclay Goodrow is an option too.
Blais didn't play after tearing his right ACL against the New Jersey Devils on Nov. 14, when he was on the top line with Kreider and Zibanejad.
"He looks great," Gallant said. "They say he's 100 percent."
Kravtsov, the No. 9 pick in the 2018 NHL Draft, spent last season playing in Russia after failing to make the NHL roster out of training camp.
"He's going to get an opportunity to come in here and be a good player for us," Gallant said.
The Rangers' top two defense pairs are set with Jacob Trouba, named their new captain this offseason, expected to reunite with K'Andre Miller, and Ryan Lindgren back with Adam Fox.
Braden Schneider, who turns 21 on Sept. 20, became a top-six defenseman last season after he was recalled in January. New York has an opening for a third-pair partner for Schneider.
Zac Jones (21), Nils Lundkvist (22), Libor Hajek (24) and
Matthew Robertson
(21) will compete in training camp for the job, Gallant said, adding he doesn't care if it's a younger player as long as he's ready for the NHL.
Jones (22 games), Lundkivst (25) and Hajek (94) have NHL experience. Robertson does not.
"Let's go to training camp and fight for that job," Gallant said. "That's what it's all about. Make us want to keep you there."