The 21-year-old joined the Giallorossi from Barcelona in a £10.5 million move last summer, but has so far struggled to adapt to the switch from Spanish football to the Italian game.
Only eight of Bojan's 25 Serie A appearances for Luis Enrique's side have been starts, and his goal tally in the league stands at just four.
However, Bojan is still hopeful that he will be selected for Luis Milla's squad this summer.
"I have not lost hope of going to the Games in London," the striker said.
"Here (in Rome), I am still growing. I am 21 years old and have many things to learn. My feelings are still positive."
Spain won the gold medal at the Barcelona Games in 1992 and finished runners-up in Sydney eight years later.
Despite the nation's famous pedigree in producing talented young players, they did not qualify for either of the Games in Athens or Beijing over the last decade.