Jose Mourinho is interested in bringing the Colombian to Stamford Bridge as a replacement for the out of favour Demba Ba, and will look to use his connections with former club Porto to put himself at the front of the queue.
Liverpool are also in the market for a new forward in January, with Spanish summer signing Iago Aspas reportedly unsettled and looking for a return to Spain.
Tottenham meanwhile are desperate to bring in a new forward, as their struggles in front of goal continue. £26million summer signing Roberto Soldado has only managed one goal in open play this season.
Although refusing to offer a name of a club he would like to join, Martinez did reveal he was hoping to join a bigger club and test himself at a higher level as soon as possible.
“The years are passing and one day I hope to make a good transfer,” Martinez said.
“It clearly depends on Porto, a club that sells its players so well. Leaving or staying depends on Porto but I will only go if there is something concrete.”
Martinez managed 26 goals in just 20 starts last season, and already has seven goals in six appearances in the Portugese league this season.