The news of Wannstedt's resignation first broke out late Monday night and some of the players didn't find out until Tuesday night.
Wannstedt met with his players Tuesday morning and delivered to them the same message he told the media.
"We lost a good man," said Jason Taylor. "Dave is a good man. He's always been the way.
"The rest of the season we're going to continue to fight for him. He meant a lot to us."
Wannstedt, who signed a contract extension through 2006, will be paid the remainder of his deal.
Team president Eddie Jones said he, Bates and Huizenga all tried to talk Wannstedt out of resigning, but that the coach's mind was made up.
Wannstedt leaves the Dolphins with a 42-31 regular season and a 1-2 mark in the playoffs. Wannstedt guided Miami to the postseason each of his first two seasons, but things started going downhill and they reached a new low this season with the 1-8 start.
"I felt that the negative attention that would surround me personally and professionally would serve as a deterrent of the ultimate goal of the football team making progress," Wannstedt said.