In his post-match interview, Conte raised questions about his future after stating that he needed to speak to the club and that he is "too honest to continue this way" and take his salary.
Reacting to the Italian's explosive comments, Sherwood told Premier League Productions: "It doesn't look good, it's not a good look.
"He was almost resigning. It sounded like that. He obviously wants to have discussions with Daniel Levy and the board.
"It's not good enough, losing four out of five games and the game they won was against a team nobody could beat. It was a fantastic performance, but it's about getting consistency.
"We laugh about it, but can you go there on Wednesday night when it's cold at Burnley and win? Roll your sleeves up and dig it out, top teams do. They never looked like they were going to win. Burnley looked like they were going to win."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!