Stoke, however, made a poor start to 2013 picking up just a point in January and a frustrating transfer window saw just two new arrivals American winger Brek Shea and England goalkeeper Jack Butland. Performances and results remained poor in February and Pulis came under heavy criticism from supporters after an uninspiring home defeat against West Ham. Victories against Queens Park Rangers and Norwich City saw Stoke avoid the threat of relegation and they finished the 2012–13 Premier League season in 13th position. It was a season of little progress at Stoke, and Pulis left the club on 21 May 2013 after a meeting with club chairman Peter Coates. Speaking after his departure, Pulis revealed that he was disappointed by Coates' decision but accepted his reasons. He was replaced by another Welsh manager, Mark Hughes.
On 23 November 2013, Pulis was appointed manager of Crystal Palace on a two-and-half-year contract, taking over from Ian Holloway. His first win came on 3 December 2013, a 1–0 home win against West Ham. During the January transfer window, Pulis made five signings, all of which came on transfer deadline day. He signed Tom Ince on loan from Blackpool, while permanently signing Joe Ledley from Celtic, Scott Dann from Blackburn Rovers, Jason Puncheon from Southampton and Wayne Hennessey from Wolverhampton Wanderers. The new arrivals helped Palace to become a more solid team defensively and they went on a run of five consecutive victories, which included wins over Chelsea, Cardiff City, Aston Villa, Everton and West Ham. This run of form earned Palace mathematical safety and saw Pulis named as Manager of the Month for April 2014. Palace finished the 2013–14 Premier League season in 11th position with 45 points, which saw Pulis named as the Premier League Manager of the Year.