The Blues boss saw the road to Moscow open up for his team after they were handed a plum quarter-final draw against Turkish outsiders Fenerbahce. But he dismissed suggestions that he is under greater pressure from Russian owner Roman Abramovich to reach the final because it is in Moscow.
"You need a special stamp to be a big club in Europe. You don't get that before you get to the Champions League final.
"Even Arsenal, a team winning titles, did not get that stamp until two years ago.
"Our main target is to get to a final and we want to do that as soon as possible."
Yet while Grant says Chelsea's CV lacks Euro success, he does not feel his coaching credentials come up short.
The Israeli added: "I have all the experience in football and I know what is needed to get us to the final.
"I started at Chelsea after we dropped two points at home to Rosenborg. Yet we still qualified from a very difficult group before the last game.
"Not having been to the final will not be a problem for me. Sometimes it is an advantage as you are more hungry."