Teaford played for the Idaho Falls Chukars in 2006, going 5–1 with a 3.71 ERA in 15 games. He pitched for the Burlington Bees in 2007, posting a 6–8 record with a 4.68 ERA in 27 games. In 2008, Teaford pitched for the Wilmington Blue Rocks and went 8–6 with a 3.80 ERA in 28 games. He split 2009 between the Blue Rocks and Northwest Arkansas Naturals, going 10–8 with a 3.91 ERA in 27 starts. In 2010, he went 14–4 with a 3.82 ERA in 28 games for the Naturals and Omaha Royals. He struck out 117 batters in 103 2/3 innings.
Kansas City Royals
2011
Teaford was promoted to Kansas City for the first time on May 16, 2011, to replace Vin Mazzaro. Since starting on May 16, 2011, Everett Teaford has played in a total of 14 games. On August 3, 2011, Teaford earned his first major league save in a 6–2 Royals victory over the Baltimore Orioles. In 26 games with the Royals in 2011, he went 2-1 with a 3.27 ERA and 1 hold, striking out 28 in 44 innings.
2012
Teaford made the Royals Opening Day roster in 2012, beating out Louis Coleman, and was one of three left-handed relievers to crack the team. Teaford pitched 4 scoreless innings in his season debut on April 13 against the Indians. In his first start, against the Twins on April 27, he went 4 innings, giving up 8 hits and 4 runs in a no-decision. After the start, he was optioned to the Triple-A Omaha Storm Chasers, and was replaced by Nate Adcock. He made 3 starts for the Storm Chasers before being recalled on May 17 to start the game on May 20 against Arizona, only to go on the disabled list with a lower abdominal strain without making the start. He was again replaced by Adcock, who made the start. He appeared in 4 more games with Omaha before being recalled on June 27, replacing Francisley Bueno. He started that day's game, going 5 innings, giving up 4 hits and 2 runs while striking out 5. He made 2 more starts before being moved to the bullpen, where he was replaced by Ryan Verdugo. He made one start in September, but was used mostly as a long reliever during his time up. In 18 games in 2012 with the Royals, he went 1-4 with a 4.99 ERA, striking out 35 in 61.1 innings.
2013
Teaford began 2013 in Omaha's bullpen, and was sporadically used to make starts throughout the season. He was recalled on July 13 to replace fellow left-handed reliever Donnie Joseph, who had pitched the previous two games. He made one appearance with Kansas City, and was optioned back to Omaha during the All-Star break, where he finished the year. In 31 games with Omaha, he went 4-6 with a 3.49 ERA, striking out 99 in 95.1 innings.
LG Twins
Teaford was designated for assignment by the Royals on January 29, 2014. On February 7, he was outrighted to the Omaha Storm Chasers. On March 30, 2014, Teaford was sold to the LG Twins.
Teaford signed a minor league deal with the Tampa Bay Rays on January 16, 2015. He was designated for assignment on April 28, 2015. He was called back up by the Rays on July 4, 2015. He was designated for assignment for a second time when Andrew Bellatti was activated from the DL.
