The 19-year-old, who is currently on loan at Gimnàstic de Tarragona from Real Madrid, has signed for Getafe for an undisclosed fee following good displays for the second-division side.
González considers Getafe, who reached the Quarter-finals of the UEFA Cup this season, to be the best team for a young player to develop.
"I come to Getafe with big goals. I want to help the club to do better than in this campaign, which was excellent. It is the perfect place for a youngster, because they bet on them and give them minutes of play," González said.
The Real Madrid midfielder revealed, meanwhile, that Getafe could increase the quality of the squad by signing some of the footballers at the Real Madrid reserve squad.
"If Soldado arrived, he would be a great addition," he explained. "José Callejón is a natural goal-scorer that can score goals in just a few minutes. Parejo has a lot of quality and he could be a good replacement for Rubén De la Red."
However, González has indicated that his mind is now on helping Gimnàstic avoid the drop to the second division B, saying: "Nástic have been able to stay out of the bottom places and we hope to continue like this until the end."
The left-sided midfielder, who is the son of former Real Madrid legend, Míchel, added that he could have stayed at Real Madrid, but he opted to play for Gimnàstic as he would not be given many chances with Los Merengues.
"It was very hard to leave my family. One of the reasons that made me want to go to Getafe is to be close to home. My father can give me good advices," he added.
González is now Getafe's fourth signing for the new campaign, following the transfers of Rafael López, Eugen Polanski and Ibrahim Kas.
Calderón: Sergio Ramos Is Staying
Happy Ramos flattered
Granero Wants Permanent Resolution