[3] Kittredge split the 2012 campaign between Single-A Clinton LumberKings, High-A High Desert Mavericks, and Double-A Jackson Generals.

[6] Kittredge split 2015 between Jackson and Tacoma, making 36 total appearances and registering a 2-2 record and 4.32 ERA with 60 strikeouts across 75 innings pitched.

[7] He returned to Jackson and Tacoma in 2016, compiling a combined 3-3 record and 3.50 ERA with 84 strikeouts and 7 saves across 37 games.

[8] On November 18, 2016, the Mariners traded Kittredge, Dalton Kelly, and Dylan Thompson to the Tampa Bay Rays in exchange for Richie Shaffer and Taylor Motter.

[11] He pitched 2+1⁄3 innings, allowing one run on five hits before being optioned back to the Triple-A Durham Bulls to make room for newly acquired Sergio Romo.

On November 2, 2018, the Rays announced that Kittredge had been designated for assignment and sent outright to Triple-A Durham.

[14] On June 18, 2019, the Rays announced that they had selected Kittredge's contract, adding him to their active roster.

[21] Kittredge began the 2023 season on the injured list while rehabilitating from the surgery and was activated on August 17.

[22] On January 5, 2024, the Rays traded Kittredge to the St. Louis Cardinals in exchange for Richie Palacios.