The Football Association announced midfielder Huddlestone's claim for wrongful dismissal in Saturday's 1-1 draw had been upheld and withdrew his three-match ban.
Spurs contested the straight red card shown to the 25-year-old by referee Mark Halsey for a tackle on Jonny Howson late in the game.
Saturday was Huddlestone's first appearance for more than a year after he came off the bench at White Hart Lane.
The midfielder has been plagued by ankle problems and a loan move to Stoke broke down over concerns about a medical.
His bid to prove his fitness would not have been helped by a suspension that would have included games against Reading and QPR, and a Capital One Cup clash at Carlisle.
Source: PA
Source: PA