Webster now has to oversee this franchise's first coaching search since Munchak was hired in February 2011 and only the second since the team left Houston in 1997.
Munchak flew to Texas on Friday morning to meet with team president and CEO Tommy Smith and Webster. They returned late in the afternoon, and Munchak eluded reporters by driving his truck through a different airport exit. Smith said in a statement that those talks continued into Saturday.
"Ultimately, we decided it was best to move in different directions," Smith said. "As I told him, we appreciate his efforts as head coach and I think he helped us progress as a team. We will start the process of finding that person immediately, and Ruston Webster will lead that search for us."
The coach had a season left on his contract and was 22-26 overall. He had been with this franchise since 1982 when the then-Houston Oilers made him a first-round draft pick, and he joined the coaching staff as an assistant the year after he retired.
Bucs hire Tedford as coordinator
Former California coach Jeff Tedford has been hired as offensive coordinator for the Tampa Bay Buccaneers.
New Bucs coach Lovie Smith made the announcement Saturday, saying Tedford has a "successful and proven track record as a teacher and developer of young talent."
Tedford led Cal from 2002-12. During his long coaching career, Tedford has worked with six quarterbacks eventually selected in the first round of the NFL Draft, including Aaron Rodgers.
Other notable offensive players who played for him at Cal are running back Marshawn Lynch and wide receiver DeSean Jackson.