The European title is the one trophy that has eluded City's UAE owners.
Gabriel said, "I think it's hard to talk about pressure for a team that has won so many titles in recent years.
"We have won the Premier League twice and we have won the Carabao Cup and the FA Cup - so I do not see any pressure on us to win a tournament.
"But of course everyone wants to win the Champions League. It's the biggest club tournament in the world and everyone wants to win it - that's perfectly normal."