The midfielder hit a 30-yard wonder goal and said: "We're top of the Premier League and through to the quarter-finals of the Champions League after beating the holders at home. So why not? Why can't we win them both?"
Fabregas added: "We don't have 25 internationals like Chelsea so we were never going to be able to challenge for all four trophies.
"But we're still in contention for the two that we really wanted."