Michel Vorm has bid farewell to the 'Swansea family' after completing his move to Premier League rivals Tottenham.
Nigel Pearson is hoping to further bolster his ranks at Leicester and says he has no intention of letting anyone leave.
Keane has been one of Major League Soccer's top scorers since moving to southern California from Tottenham in August 2011.
He has contributed 34 goals and 21 assists in just 55 MLS appearances while helping the Galaxy to win back-to-back MLS titles in 2011 and 2012.
The 33-year-old has also been a member of MLS' Top XI in each of the past two years.
The Galaxy also signed Landon Donovan to a lengthy contract extension last year, while their third designated player, defender Omar Gonzalez, is contracted for the next three seasons.
Galaxy will kick off their new MLS campaign on Saturday against Real Salt Lake.