The 34-year-old Ivory Coast international is looking to maintain his fitness ahead of January's Africa Cup of Nations competition, following the end of the Chinese season, and a temporary switch to Serie A might be an attractive option.
"Drogba? I exclude nothing," Marotta told Sky Italia. "We have built a really competitive group for all the defined targets.
"It also depends a lot on the market availability, not just the economic situation."
Drogba left Stamford Bridge at the end of last term to join Shanghai Shenhua, and is due back in west London to train with Roberto Di Matteo's first-team in a bid to keep his match sharpness.
However, his agent Tcherno Seydi, has fuelled speculation of a return to Chelsea by revealing his intentions to ask FIFA for special dispensation to allow the forward to join a club on loan, outside of the transfer window.
"It would be an exceptional measure, but considering what he has brought to African football we can ask for it," he told L'Equipe.
"Considering what he represents and he has achieved, FIFA could study that case."
With Fernando Torres still struggling to rediscover his best form, the Blues have been linked with moves for a number of striker's in the forthcoming January transfer window.
Negotiating a short-term deal for Drogba, though, would mean Roman Abramovich needn't fork out more money, after spending big over the summer, and could turn out to be a worthwhile arrangement for both parties.