I think Chelsea have run out of coaching options and now Pochettino is the only hope for them to become Chelsea coach next season. Chelsea owner Todd Boehly is certainly also trying hard to bring in a credible and experienced coach, but with the current team situation, most coaches will definitely also reject offers from Chelsea. Quite concerned about what Chelsea is experiencing this season, even though they are one of the big EPL teams and due to management's inability to manage the club, this has had a huge impact on the team's performance in any competition.
At this point, I think Chelsea is confused. They don't know what they want. They didn't go all out for Nagelsmann that is why they lost him. They're looking for a coach that has experienced the EPL and that is not a very good idea. Pep and Klopp never had experience in the EPL before they became the managers of their respective clubs but they both did and doing well.
Potter and Lampard both have a degree of experience with the league but they both failed at Chelsea so what's the point of still[cking to that same philosophy? They also had a chance to sign Luis Erique but they refused because of the same lack of experience in the EPL excuse. They might end up with an average coach if they're not careful.
To me, the Pochettino they want to hire is a wrong decision, but what do I know?