[8] On 13 April 2011, Noesí was called up to the major leagues for the first time in his career, replacing relief pitcher Luis Ayala, who the Yankees put on the disabled list.

[9] He was optioned to Triple–A on 22 April without having made his major league debut, briefly becoming a phantom ballplayer[10] Noesí made his major league debut on 18 May 2011, pitching four scoreless innings of relief and earning the win in an extra-innings game against the Baltimore Orioles.

[11] On 23 January 2012, the Yankees traded Noesí to the Seattle Mariners along with Jesús Montero in exchange for Michael Pineda and minor league pitcher José Campos.

Noesí made 10 appearances for Chicago in 2015, struggling to an 0–4 record and 6.89 ERA with 22 strikeouts over 32+2⁄3 innings pitched.

[22] Noesí signed a $1.7 million deal to pitch for the Kia Tigers of the KBO League in 2017.

[23] Noesí pitched to a 20–5 win–loss record with a 3.48 earned run average during the regular season and started Game 1 of the 2017 Korean Series.

[25] On 4 December 2018, the Tigers announced that Noesí would not return with the team due to the recent increased tax rate on foreign players.

[29] On 16 October, Noesí was removed from the 40–man roster and sent outright to the Triple–A New Orleans Baby Cakes, and elected free agency the next day.

[34] On 24 December 2020, Noesí signed a $500,000 contract with the Fubon Guardians of the Chinese Professional Baseball League for the 2021 season.