Pedro is attracting interest from MLS clubs New York City FC and Inter Miami after falling out of favour at Chelsea, Goal understands.
The 32-year-old has just six months left on his contract, and is expected to be available on a cut-price deal if Chelsea sanction a move.
With the Blues in the market for another forward, selling Pedro may help them free up space in the squad for more attacking players.
David Beckham's new MLS franchise Inter Miami are trying to attract Pedro by offering a good lifestyle in a city with a large Hispanic population.
Similarly, Manchester City's sister club NYCFC will offer similar benefits having previously attracted Chelsea boss Frank Lampard himself, as well as both David Villa and Andrea Pirlo.
Lampard has only started Pedro six times in all competitions and the Spaniard has made just one start in the last three months.
Pedro has admitted his interest in returning to his previous club Barcelona, although they are not expected to make a move for him in January.