The other players on the transfer list are goalkeeper Dan Gyollai and attacking midfielder Serhat Tasdemir.
Defenders Niall Mason, Frazer Blake-Tracy and Sam Cartwright, midfielders Louis Reed and Archie Jones and striker Brad Rolt have all been released.
Posh are negotiating contract extensions with other players including Nathan Thompson, Siriki Dembele and Dan Butler.
Eisa cost Posh £1.2 million from Bristol City in July, 2019, but after a blistering start to his Posh career the goals dried up and he started just six League One games in the 2020-21 season. He scored one of his two goals in the final day rout of Doncaster Rovers.
Wing-back/number 10 Broom moved to Posh from Cheltenham for a reported £350k last summer, but was immediately bumped down the pecking order by the surprise arrival of Sammie Szmodics a few weeks later.
Reed and Mason, who scored on his final appearance at Doncaster, have been regular members of the Posh first-team squad this season. Blake-Tracy failed to kick on after a promising first season at Football League level.
Rolt, Jones and Cartwright are all young players who have failed to make the step up to senior level.
Posh boss Darren Ferguson said: “Mo Eisa needs to play regularly. He is too good a player not to be involved, but he may find it difficult next season, as he did this season, to be in our starting line-up.
“He is a great lad and played a massive part in our success. Dan Gyollai has been a substitute for pretty much all of our games in the league, but he helped Christy Pym and more recently Josef Bursik.
“Part of Serhat’s development was allowing him to go out on loan (to Oldham), but it was a disappointing loan for him and that played a part in my decision. It hasn’t really worked out for him.
“Ryan Broom is desperate to play regular football He is another that we want to get first team football for elsewhere if we can.
“I thank all the players who have left. I spoke to them all individually and it is probably the toughest part of a manager’s job. They have given everything, blood, sweat and tears for the cause. I have a good relationship with them all.
“We had to manage all of the players throughout the season. They weren’t regulars, but their attitude on Sunday against Doncaster in the final game of the season was outstanding, particularly as I had spoken to them all and told them my decision a few days previously.
“I wish them all the best, I will keep in touch with them, and I will help them as best as I can, I am sure they will be fine and they will get clubs. They have been a credit to themselves and played a massive part in getting us promoted.”