The Mets selected left-handed pitcher Bob Myrick in the 20th round of the 1974 amateur draft. He made his Major League debut on May 28, 1976 pitching a 1/3 of an inning in the Mets 6-0 loss to the St. Louis Cardinals. He than would go on to appear in 21 games, all but one out of the bullpen, and posted a 1-1 record with a 3.25 ERA. He earned his first career win on July 27 when he pitched three innings of scoreless relief in the Mets 4-1 victory over the Philadelphia Phillies. In his only start of the season on September 28 against the Montreal Expos, he suffered the loss. He lasted just 3 1/3 innings and allowed 4 runs only 2 of which were earned.
Myrick spent the entire 1977 season and appeared in 44 games, 4 as a starter. He posted a 2-2 record with 2 saves and a 3.61 ERA. He earned his first win of the season on August 5 when he pitched 1 2/3 scoreless innings in the Mets 3-2 win over the San Francisco Giants. His first career save came on September 18 against the Chicago Cubs. In his 4 starts he went 0-1 with a a 7.63 ERA.
Myrick started the 1978 season with the Mets and appeared in 17 games all out of the bullpen and posted an 0-3 record with a 3.28 ERA. He was demoted to the minors at the end of May and finished the season pitching for the Tidewater Tides where he posted a 4-8 record with a 3.83 ERA.
He once again pitched in the minors in 1979 for the Tidewater Tides before being traded to the Texas Rangers on June 15 along with Mike Bruhert in exchange for Dock Ellis.
In three seasons for the Mets Myrick appeared in 82 games and posted a 3-6 record with 2 saves and a 3.48 ERA.
While with the Mets Myrick wore number 44.