The 21-year-old is regarded as one of the best young defenders in world football and it has been suggested that Newcastle had made a move for the Argentine.
However, his representative Eduardo Palomar has insisted that the youngster is intent on securing regular football for River.
"We are going to do all what is possible for letting German end his formation at River, and once he has an important part of his career done he will be transferred to a team from abroad," Palomar told reporters.
"There is a total agreement with the officials of River Plate for letting Pezzella play for some time at River until he gets a regular position in the first team. He is at his first step of a long ladder. He is happy at this moment and after all the patience he had for being able to play at River, he doesn't have in mind to leave, River is his home.
"German was six months away from being out of contract, his father received many calls in which he was offered money for not renewing his son's contract, but the family owes a lot to River."
Pezzella is the captain of Argentina's Under-20 outfit.