The Stamford Bridge club had until last Friday to lodge an appeal to the Court of Arbitration for Sport against the decision by Federation Internationale de Football Association to ban them from making any signings for the next two windows.
Chelsea originally appealed to FIFA to have the ban overturned, but world football's governing body rejected their appeal in terms of them being able to register senior players.
It followed an investigation into their signing of foreign under-18 players.
The English club were punished in April for breaking the rules on signing minors in recent years.More news: Realme to launch 5G smartphones this year, says India CEO
Chelsea are now banking on the return of loan players, with the likes of striker Tammy Abraham from Aston Villa alongside Mason Mount ahead of pre-season, before the club make a decision over his future.
They are also appealing a £460,000 fine, which was part of the punishment for being found guilty on 29 charges.
In May, FIFA dismissed Chelsea's appeal, but the Europa League winners have formally taken their case to the CAS.
CAS confirmed the appeal in a statement released on Friday.More news: Woods, Spieth, Rose grouped for first two rounds of U.S. Open
The likes of Real Madrid, Atletico Madrid and Barcelona have appealed transfer bans in the past to CAS with varying degrees of success as Real had their ban reduced but Atleti and Barca failed.
Chelsea can separately apply to CAS for provisional measures which, if granted, would freeze the ban until their appeal is heard and allow them to trade freely this summer.
"It is not possible to say at this time when the Arbitral Award will be issued", CAS said in their statement.More news: Mnuchin: U.S.-China trade talks progress unlikely before G-20 summit