The Lakers dealt Blake to the Warriors on trade deadline day for a couple of reserve guards in Kent Bazemore and MarShon Brooks.
The move will save the Lakers about $4m in salary cap space - but Kobe Bryant took to his Twitter account to criticise the decision to trade away point guard Blake.
He tweeted: "Not cool with @SteveBlake5 being gone AT ALL One of my closest teammates and psycho competitor GS [Golden State] picked up a gem #smartmove"
Blake joined the Lakers as a free agent in 2010 after a brief stint with the LA Clippers.
According to the Lakers, the decision to move the 33-year-old Blake had more to do with giving younger players a chance to get minutes rather than saving money through the salary cap.
Lakers general manager Mitch Kupchak said: "With this organisation, that kind of relief [$4m] is not really a big number.
"It really got to the point where we needed to free up some time in the backcourt to look at Jordan [Farmer] and Kendall [Marshall] the time he's earned and lets review and evaluate where we are with those two players."
Kupchak went on to acknowledge Bryant's influence within the team, and admitted that the future Hall of Famer will have some say on free agent targets this summer.
The Lakers are expected to have up to $28m in salary cap space this summer.
"I'm sure he'll tell me the players that he'd like to have, and if it's in line with what we would like to have, then I think there will be some influence," Kupchak continued.