"One single player interests us and that is Sheyi Emmanuel Adebayor," Galliani was quoted as saying in L'Equipe.
"If he doesn't come then nobody will come and we will keep the team as it is in attack."
Arsenal are reluctant to part with their star forward, who last season found the net 30 times in 48 outings.
But Galliani was adamant the Italian club will continue to chase Adebayor until they are convinced they can do no more to persuade Arsenal to sell.
"We are in negotiations with Arsenal, who are not willing to sell at the moment," he continued.
"We'll see how far we can get with our offer. If the English club still don't want to sell, then too bad."
The player himself has repeatedly committed his future to London club.