"I will meet him today," Benitez said before heading off to dinner with Abramovich after being unveiled as the Russian's ninth manager in just over eight years.
"The main thing is that I have spoken to Michael Emanalo, the technical director, and he's my link. I like to speak about football with him. That's my priority."
The Russian is said to want to see 'Barcelona in blue shirts' at Stamford Bridge.
"I don't know about the style he wants, but he'll be happy with the team winning," said Benitez, who has a reputation for playing a more cautious game.
"It's not about one way to play.
"Michael told me we have a good team and they trust me.
"At Valencia, winning the Spanish league after 31 years, it wasn't bad.
"If we play like Valencia, we can win and he'll be happy anyway."