Both Mark Hughes and Dean Brill played key roles for Barnet as they avoided the drop with victory over Burton Albion, but they will go into the summer break unsure of whether they will be with the Bees next season.
Many players at Underhill are in the same position as the majority of the squad’s contracts expire in the summer.
Hughes completed his third season with the Bees and captained the side during the last campaign.
When asked if he is keen to remain with Barnet, the skipper replied: "Yes, of course. I’m 28 years old and the captain of the club. So I am a free agent but I really feel a lot of affection towards the club and I’ve played a lot of games here. But we will have to see what happens."
He added: "We will have to appoint a manager first which is important to sort out the players. So it is a little bit up in the air but we were focused on only the Burton game and we have done what we sent out to do (stay up).
"Hopefully we can keep the lads because they have done well. So let’s hope we can build on that and get a few more experienced players in and I’m sure we won’t be in this position next year."
Brill revealed following the victory over Burton that he had not yet entered discussions about extending his stay at Underhill.
"The manager has come in and, as he said, we were only allowed to work until five o’clock (on Saturday). We haven’t been allowed to think any further than that.
"But I’ve had a great year and I think there is more in the dressing room than what the league table shows."
Hughes’ winning goal in the 2-1 win over Burton was ultimately what kept the Bees in the Football League.
Looking back over the season, the skipper admitted he was a little disappointed that the club went into the final day needing a victory to ensure survival.
He said: "Credit to the lads because we have a few young loanees in the dressing room, who have loads of potential, and they will learn from that and hopefully we can get a few of them back next year."
"I was so relieved after the game more than anything. It means so much to the fans, they made it (against Burton) like a home game."
He continued: "It (staying up) feels a bit more like relief. We had a good cup run but then went on a bad run after that. It’s little bit frustrating. We have a lot of loan players that are so good individually but maybe find the attachment a little harder.
"So I’m a little bit disappointed the way the season ended up because it could have been much better than it was."
Brill echoed Hughes’ thoughts. He added: "I can’t remember too many games this year where we have been second best for the entire game. Obviously there will be a few because we lost a lot of games.
"But from where we started, and from different periods of the campaign, I am surprised that it came down to the last game of the season."