Shortly after the Broncos defeated the Raiders 20-19 on a 36-yard field goal by Brandon McManus with six seconds remaining, King posted a video on Twitter that included a Chucky doll with money stuffed into its clothes -- an apparent reference to Gruden and the 10-year contract the coach signed with the Raiders this offseason.
King was released by the Raiders on March 30, and there were rumors at the time that King's outspoken personality and his high profile on social media didn't mesh with Gruden's reconstruction of the team's roster.
King agreed to a three-year, $7 million deal with the Broncos on April 5. At the time King said he had not spoken to Gruden before or after his release, adding, "I never got a chance to talk to him. I just saw him on car commercials and stuff. [Now] I get to see him two times a year.''
King also said he didn't receive an "exact reason'' from anyone with the Raiders about why he was released. This past week when King was asked about Gruden, he simply replied, "Who's that?''
King punted four times in Sunday's game and finished with a 44.1 net yards average (51.0 gross), and he put one punt down inside the Raiders' 20-yard line.
The Broncos will face the Raiders again this season on Christmas Eve in Oakland.
King was third in the NFL in net punting last season (42.7 yards). He originally signed with the Raiders as an undrafted free agent in 2012, and the team signed him to a five-year, $16.5 million extension in 2016.