My sister-in-law's brother flew P-3s and said you won't find one of our subs if it doesn't want you to. Maybe it was Chinese or Iranian and they just claim it was American.
Coulda' been British, Swedish or Norwegian too. No way they could positively ID an American sub, and of course the US will neither confirm or deny.
I highly doubt they chased one of our subs anywhere. This is the Russians making claims nobody will ever refute, nor will they ever prove.