However, Rocha's consent to a request by Nicaraguan authorities can only proceed with the approval of the United States, which also seeks his extradition.
Swiss justice department spokesman Folco Galli says it is "for the U.S. authorities to state whether or not they agree to Nicaragua being given priority."
If American officials refuse to let Rocha return home, the Swiss justice ministry will decide which extradition request to grant, Galli says in a statement.
Rocha was a FIFA development officer and Nicaragua football federation president when arrested at the Americans' request in a Zurich hotel on May 27.
He is suspected of taking bribes from marketing agencies which were awarded tournament broadcasting rights.