The Swans have won both of their Premier League matches so far under new manager Michael Laudrup, scoring eight goals in the process, and Fabregas is impressed.
"I love the way Swansea plays. Respect," tweeted the former Arsenal captain.
Spanish defender Angel Rangel, who is embarking on his sixth season in South Wales, is delighted that his side is attracting praise from such a high-profile player.
Rangel said: "It's fantastic that a player like Cesc is saying things like that about us. He plays for a team that plays the best football around so that compliment means a lot for Swansea.
"It's the best start we've made to a season for a long time, but we are all realistic and know we have to keep working hard."
Swansea host Barnsley in the Capital One Cup tomorrow night.