"We have an agreement with 14 countries to prevent incidents at sea covering territory outside our waters. Our Navy meticulously observes it. We would now like to sign agreements to ensure submarine navigational safety" Adm. Vladimir Masorin said.
But he said the United States was reluctant to sign.
He also said the Russian Navy will continue its participation in the NATO-led anti-terrorist Operation Active Endeavor in the Mediterranean.
"Our Navy cannot exist on its own. We need to integrate into international structures," he said.
Adm. Masorin said Russian warships will call at U.S. ports later this year as part of the FRUKUS exercise.
FRUKUS is a multinational exercise, which takes place in the eastern Atlantic Ocean and includes naval forces from France, Russia, the United Kingdom and the United States.
"It is very important that the United States does not forget that Russia has a navy," he said, adding the Russian Navy command had invited the U.S. Navy to exchange submarine visits, but the U.S. side declined the proposal.