The Nigerian was on the scoresheet as Fernando Torres bagged a brace to help Rafa Benitez's side take control of their Europa League quarterfinal against the Russians.
On a somewhat subdued night in West London, the Blues were in control for large spells and were rarely troubled, although the visitors did score a penalty in the closing stages of the first half through Bibras Natkho.
It seemed a little harsh on John Terry, who was adjudged to have handled in the area after a close-range effort and received a booking for his troubles.
The goal gives the Russians an outside chance of overcoming their first-leg deficit in the return in Moscow next week, yet on the basis of this performance, that looks unlikely.
At the final whistle, Moses was understandably confident the Blues will progress and believes they have what it takes to claim a second piece of European silverware in as many seasons.
He said: "We've got quality players who can win games. We're good enough to win it [the Europa League]."
Moses' teammate Ryan Bertrand also said he was thrilled to have a run in the first team following Ashley Cole's injury.
Cole pulled a hamstring in Monday's win over Manchester United in the FA Cup, leaving Bertrand as Chelsea's only recognised left-back. So expect to see more from the Englishman in the coming weeks.