After finding out about Milan's sacking Pioli recently I'm curious about who they will bring for the job. I couldn't find any news related to a candidate yet. Does anyone suitable comes to your mind?

I only remember Pochettino who is available after getting sacked by Chelsea recently. He hasn't managed an Italian team in his career yet but there is always an opportunity to try a new adventure.

If Mourinho didn't sign a deal with Fenerbahçe then maybe there might have been a chance for him to return to Italy. But Milan seems like they have a strict policy with bringing an Italian manager. Most of their managers so far have been like that so let's see who it will be this time.
I don't think Milan has fired Pioli and maybe this is the final step they can take before next season starts. We know that Milan's record is not good enough even though they managed to finish in 2nd place in the standings and if they had not dropped points in some of their matches then they would have been much more reliable as Inter's competitors in winning the Scudetto.
But it's all over and they really have to do something different next season. Regarding the available coaches, I don't think Pochettino will be suitable to handle the Italian team and if possible they could contact Conte who is also still available on the market. I think an Italian coach will still be Milan's main choice rather than a coach from another country.