The Blues' 4-0 loss at Bournemouth last month was Chelsea's worst since September 1996, until City inflicted further embarrassment on Sarri's side, who suffered their biggest defeat in 28 years.
Following the Etihad Stadium setback, Sarri said in an interview with an Italian broadcaster that he "never" speaks to Abramovich, an owner not renowned for his patience.
Speaking ahead of Tonight's Europa League last-32 first leg with Malmo in Sweden, Sarri insisted his comments had been mistranslated when asked if he had spoken to Abramovich.
"No, not this week - not in the last three weeks," Sarri said.
"It depends on the president, I think. I didn't say never. Not very often, but not never. The interview was in Italian and in Italian I am better than you.
"I'd like to speak with somebody in the club, not necessarily the owner. I usually speak with Marina (Granovskaia, the director) and for me it's enough."