Conte would absolutely be a great choice. Maybe even the best one. Because as you know Conte already has a history with Chelsea. He made Chelsea Premier League and FA Cup champions once each. 
While he is available why don't they just go for him first? If I were Chelsea chairman my priority would be to do that. However I haven't even heard his name among those many rumours. I just want to see them finding a decent manager and not giving up on him easily just as they did with Pochettino.
This isn't the road going to success for sure. Patience is one of the most important factors in football. It hasn't been easy for most top teams to reach this level.
Sometimes, the end relationship with team should be considered in making decisions; how did Antonio Konte end his stay at Chelsea is something to be considered before judging him; although the team now have new management, he can decide coming back since he is currently not in any contract because he is a good coach that knows his job and he knows how to manage big teams.While he is available why don't they just go for him first? If I were Chelsea chairman my priority would be to do that. However I haven't even heard his name among those many rumours. I just want to see them finding a decent manager and not giving up on him easily just as they did with Pochettino.
This isn't the road going to success for sure. Patience is one of the most important factors in football. It hasn't been easy for most top teams to reach this level.Although, Chelsea management is intending to sign Enzo Maresca who promoted Leicester City back to Premier League as potential replacement for Pochettihnho who left the club last week, and there other coaches like De Zarbi who are also good and will be a perfect replacement for Pochettihnho.
Let’s just wait and see what Chelsea will do before the beginning of the season, they need to bring and end to this inconsistency their team is having.