The Wales legend says his compatriot Aaron Ramsey is just the kind of player who would thrive at the Spanish giants.
Ramsey has become an increasingly important player for the Gunners in recent years since recovering from a leg break sustained as a 19-year-old in 2010 which kept him out of action for eight months.
The Welsh international stepped up after his return, and has been a vital player for the club in the last two seasons, scoring 16 goals in 2013-14 - despite missing three months of action - and 10 the following campaign from the centre of midfield.
He has been criticised at times in the current campaign for patchy form and a lower goal return, but Rush insists he is simply underrated by many casual observers.
The 54-year-old told Wales Online in a Q&A: "I think he’s a great player, fantastic. People who criticise him don’t know enough in my opinion. He’s a match winner, his energy is vital and I think he’s a big part of Arsenal’s play."
When asked if Ramsey could walk into a top team such as Barcelona, Rush continued: "Yeah, I think the way Barcelona play suits him. It’s no coincidence that people talk about him and Barcelona, he’s one of those that could easily play in that league.
"Aaron likes to get forward and score goals, and his sense of duty in midfield would be less there than it is at Arsenal. He would be a great pick if he went somewhere like that."
In total, Ramsey has amassed over 250 appearances for the Arsenal first team since signing as a 17-year-old from Cardiff City in 2008.
He has continued to be a key player for Arsene Wenger's side this season, scoring six goals in 33 matches in all competitions at club level, and has also been a crucial part of the Wales side which qualified for a first major tournament in nearly 60 years.