Parcells, being the jerk that he was, wrote an offer on a napkin and gave it to JT. Jason Taylor told him to talk to his agent. Feeling spurned, Parcells traded JT after the season.
Alain Poupart (SI) wrote:
Jason Taylor is the only player in Dolphins history to have three stints with the team, and what made it happen took place on this day in 2008 (July 20) when Taylor was traded to Washington for a second-round pick in the 2009 draft and a sixth-round selection in 2010.https://www.si.com/nfl/dolphins/news/mi ... r-and-more
Taylor was back with the Dolphins in 2009 after being released by Washington and his third stint came in 2011 after he played with the New York Jets in 2010 when he reached the AFC Championship Game for the only time in his career.
The Taylor trade actually worked out well — in a way — for the Dolphins, who won the AFC East title in 2008 without him. While the second-round pick didn't pan out after being used on quarterback Pat White, the 2010 sixth-round pick was combined with a seventh-round pick that year in another trade with Washington for a 2010 fifth-round selection.
That pick was used on safety Reshad Jones, who became one of the Dolphins' best defensive players of the 2010s.