Kesler, who turns 34 on Aug. 31, played 44 regular-season games after hip surgery June 8, 2017, and may sit out this season, Sportsnet reported.
"We have a good plan set in place," Kesler said after Anaheim's season ended. "The guys I work with are very smart people, and we're going to attack this thing and get me back to where I should be."
Perry, 33, scored 17 goals last season, his lowest total in a full NHL season since he also had 17 in 2006-07.
Several forward prospects, including Troy Terry, 20, and Sam Steel, 20, could push for roster spots if the veterans are unable to play or are ineffective.
"We do have some good young players that we are not going to force-feed into our lineup just to make some people happy that we're trying to get faster," Murray said. "If some come along who have had a pretty good pedigree and have played in big games at higher levels in junior, they make the team."
Montour, 24, who played on a pair with Fowler much of last season, avoided arbitration by signing a two-year contract July 24.
Henrique, 28, signed a five-year contract extension July 16. He had 36 points (20 goals, 16 assists) in 57 games after he was acquired in a trade from the New Jersey Devils on Nov. 30, 2017.