Coach Bruce Arena hopes Steven Gerrard and Robbie Keane can be persuaded to stay with the Los Angeles Galaxy.
Gerrard and Keane are both out of contract at the end of the season and could have played their last game for the franchise when they were knocked out of the MLS play-offs by the Colorado Rapids on Sunday.
Arena praised both players for their contributions to the Galaxy this season and would love to have them as part of his squad for the 2017 campaign.
Gerrard, 36, has been linked with a return to Liverpool in a coaching role, with Anfield boss Jurgen Klopp saying he would always be welcome back at the club he served for more than 15 years.
Keane spoke after Sunday's defeat and said he would love to stay in MLS, although he opened the door for a move elsewhere after ending the season as more of a bit-part player.
"We were honoured to have Stevie here as well as Robbie and are hopeful they continue to be part of our club but only time will tell," Arena told AFP in an interview.
"I haven't spoken to those players. We need to let them have time to comment on what they want to do in their future rather than me commenting on it now.
"The season just ended. We need a little time to reflect. I'm sure both Stevie and Robbie at the proper time will discuss their futures.
"If Sunday was his [Gerrard's] last game, to finish the way he finished with that penalty and the 45 minutes he played after being out for close to two months, was pretty impressive.
"With Robbie Keane, there are very few players who have contributed as Robbie has. Six unbelievable years, three championships, more than 100 goals. He embraced the league. You don't always see that from international players."