The defender was issued a ban and a fine of £70,000 on December 23 after the Football Association found him guilty of four of seven alleged breaches of rule E8(1)(b).
The regulation states: "Where a participant provides to any other person any information relating to football which the participant has obtained by virtue of his or her position within the game and which is not publicly available at that time, the participant shall be in breach of this rule where any of that information is used by that other person for, or in relation to, betting."
However, the 30-year-old England international will be free to play again while the appeal process continues.
A FIFA spokesperson confirmed on Sunday: "Following the appeal and, specifically, the request for provisional measures lodged by the club Atletico Madrid, the FIFA Appeal Committee has approved to stay the extension of the suspension against Kieran Trippier until the procedure is over before the FIFA Appeal Committee."
Trippier will miss Sunday's game between Atleti and Deportivo Alaves after being left out of the squad.
The former Tottenham man has played in 19 matches in all competitions this season for the LaLiga title-hopefuls, who are a point behind Real Madrid at the top of the table but with three games in hand.