The singer was admitted to a medical facility in the Big Apple to treat the condition, and medics also carried out tests on his liver and gall bladder, but he has now been discharged.
A series of posts on the band's Twitter.com page reads, "Ryan was in hospital with a kidney infection and tests on his liver and gall bladder. He is out now, and will be back in action for Hard Rock Calling. Thanks for the love!"
The message confirms the band still intends to play at London music festival Hard Rock Calling at the end of the month (Jun13), but the setback means the group won't be able to play a show in Coventry, England on 27 June (13).
The concert, at Coventry's Kasbah venue, has been pushed back until 2 August (13). All tickets will remain valid for the new date.
Jarman has since assured fans he is recovering well following his stint in hospital, writing in a post on Twitter.com, "Thanks for hospital well wishes! Still a bit of pain & tests to be done, but watching a Queen Dvd so I'm happy!... Seriously, you guys are great."