On Thursday, Fabregas downplayed rumors he wants out of Camp Nou.
"I am not here to cry, I am here to work and learn from the best," Fabregas said to Mundo Deportivo. "There is an amazing generation (of players) and we need to take advantage of it as much as possible and all pull together. At the moment I am fine and eager to move forward."
Fabregas joined Barcelona in 2011 after eight seasons with Premier League club Arsenal. The Spaniard originally attended the Catalans youth camp before he left for the Gunners in 2003, but returned for a transfer fee of roughly £35 million.
Pique said he believes his teammate will recover from his struggles with Barcelona and have a successful run this season.
"We've had three La Liga fixtures and the rumors have already started about whether he will go out on loan in January," Pique said to TalkSport. "The world of football is too impatient and tries to knock you down for the slightest thing. He seems relaxed and happy to me and I'm sure he's going to have a spectacular season."
Fabregas has appeared in 31 games since 2011, and scored only nine goals. He has started two of Barcelona's three La Liga matches, and didn't start in either Supercopa match against Real Madrid.
With Andres Iniesta expected to be sidelined for two weeks with a thigh strain, Fabregas is expected to play a larger role in Saturday's road La Liga match against Getafe, as well as a home Champions League match against Spartak Moscow on Wednesday.
Fabregas may have momentum on his side after setting up Spain's late-match winner against Georgia on Tuesday.
"I played ten minutes, it went well and I gave the pass for the goal," he said, according to ESPN. "That shows that, in football, everything can change in a day. You should not get down when things are not going your way, or big yourself up when things go well."