Emenike's 27th-minute strike gave Spartak, which twice gave up the lead in a 2-2 draw against Kuban Krasnodar last week, a half-time advantage.
Substitute Ari (64) doubled the advantage and Emenike struck seven minutes later before former Liverpool striker Florent Sinama Pongolle grabbed a late consolation for Rostov.
The visitor suffered a blow when
However, the dismissal did not affect Kurban Berdyev's side, which scored the decisive goal on the stroke of half-time through Bocchetti.
Rafael Benitez quietly slipped out of Chelsea as the UEFA Europa League winner ended its season with a 5-3 friendly loss to Manchester City at Yankee Stadium.