The 24-year-old is currently co-owned by the two clubs after Inter Milan purchased 50 per cent of his playing rights in the summer.
“I may move to Inter as early as January, but there is also the possibility that I will stay at Genoa until the end of the season,” Kucka told Internews.it.
“The clubs have decided the outcome of the deal, but I do not know anything and I only concentrate on playing football.
“Of course, everyone wants to hit important targets, and I hope to make important steps in the near future.”