Colombia international Falcao, 25, said earlier this month that he would consider his options amid reported interest from Real Madrid, Tottenham and Arsenal.
With the confirmation that Villas-Boas will succeed Carlo Ancelotti at Stamford Bridge, though, there has been heightened speculation that he could sign for the Blues.
"I am leaving things up to my agent," Falcao said in the Daily Star. "I am very calm about the situation but I know there has been some movement.
"My ambition is to keep working hard and I am convinced I can play in a superior league like England. If Chelsea is interested in me then all that needs to happen is for negotiations to take place."
Porto have insisted they will only allow their key players to leave if interested clubs are willing to meet their release clause, with Falcao's standing at €30 million.