Rose started his career, aged 12, at Southampton before moving to France with his family and playing youth football for Stade Malherbe Caen. On his return to England he undertook a two-year scholarship with Bournemouth and being released in May 2008. He then had spells with non-League sides Salisbury City, Bashley, Brockenhurst and Weymouth.
He left Weymouth in March 2010, and joined Paulton Rovers, before later signing dual registration papers with the club and Bath City.
He then signed with the Nike Academy, and trained again with Weymouth, before signing professional terms with Stockport County in July 2010 after impressing on trial. Rose made his first team debut for Stockport coming on as 29th-minute substitute in the first half in a game against Lincoln City on 23 October 2010.
His manager Paul Simpson said of his debut: "We’ve got a young kid in Jordan Rose who comes in for his debut and I thought he did very well. He was going to play on Tuesday night against Tranmere anyway so he"s got in earlier than I wanted, but I thought he did very well."
He did then start his first match for the club on 26 October in a Football League Trophy match against Tranmere Rovers.
Rose started the season with Conference South side Eastleigh but left after only one appearance to join Hereford United.
However, his stay with the Bulls was a short one as he left after just a week and without making an appearance due to picking up an injury in a reserve game. Rose joined Hayes & Yeading United at the start of the transfer window in January 2012, but was released after making just four appearances. Return to Stockport County
He left the club in May upon the expiration of his deal with the club
A.F.C. Telford United
Following his release he joined A.F.C. Telford United on non-contract terms.
After four matches with the club he signed contract terms. lieutenant was announced on 8 January 2013 that Telford rejected a bid from Alfreton Town with the Telford chairman Lee Carter stating that he is a big part in the team
On 12 March he joined Alfreton on loan until the end of the season. He was released by the club on 2 May 2013.