I must admit i will be a little sad to see these guys go. Asamoah was a large part of Contes team and always delivered decent performances with hard work and humbleness. I hope he will get back to his best no matter the shirt he wears next season. Likeable guy, but at the moment there just isn't room for him here.
I think Hernanes has been criticized too much. He had a bad start, but it's always hard to join a new team and play well when the team doesn't work. Would have been a lot easier for him to settle the year before, where everything was running smoothly. I know he is experienced, but it takes a large amount of qualities to perform in a team that doesn't work, even more so in a new role - just look at how Pogba was playing in the first ten games vesus the rest of the season. As for Hernanes, i think he could be a useful squad player, because he has some qualities if used in the right way. I am pretty content his performances would be better this season. At the same time though, he might see limited playing time, though Marchisios injury makes me want to hold on to him for at least another season (assuming no incoming transfers). But if an offer arrives, it totally makes sense to let him go.
I hope we will stick with Pereyra though. I still think he has what it takes, very unfortunate with injuries this season - he could have gotten plenty of time on the pitch. But then again, if a good offer is on the table and if we have other players who can fill these roles in the same manner, then it might be a wise decision to move on. I am just pretty sure we haven't seen the best from him yet. If we sell him i hope we would include some kind of buy back option, though that would mean a lower fee, so i doubt we are going in that direction.
Some nice fellas, but with Marchisio (when back from injury), Pogba, Khedira, Pjanic, Sturaro, Lemina and potentially another incoming transfer, we are covered quite alright in midfield. A lot depends on the formation we will use next season though, and whether Pjanic foremost is seen as an AM or a CM.