Spanish newspaper Marca is reporting that the 32-year-old has emerged on the roaster of the Catalan giants.
They are considering a second loan spell as a replacement for the injured Uruguayan.
Suarez was operated on Sunday for an external meniscus injury on the right knee, according to the Catalans.
The striker has been ruled for a minimum four month for a man who has scored 14 goals and provided 11 assists in 23 matches in the current season.
The club is in the market looking for a replacement and have identified the Ghanaian as a possible replacement.
Kevin Boateng spent six month uneventful loan spell from Sassuolo at the club last year.
Barca could use summer signing Antoine Griezmann in a central role, but with no real other centre-forward apart from Suarez at the club, the Catalans will now look to bring in a striker this January.
It has also been speculated that Inter Milan forward Lautaro Martinez is one option, but the Argentine has an €111million release clause and that might be prohibitive at this time of the season.
Uruguay striker Edinson Cavani, who is out of favour at Paris Saint-Germain, could be another alternative, it has been claimed in the Spanish media.