The 24-year-old has been linked with a transfer to the Serie A giants, while other reports have suggested that the Gunners are keen to offer a new deal to the Cameroon international.
"I don't know anything about these rumours but I can assure you that I've never had contact with [Inter sporting director Marco] Branca or with the other Inter leaders," Mongai told interlive.it.
When asked if Song has a desire to play in Italy in the future, he replied: "Yes, but Alex is one of the most important Arsenal players as is clear from the fact that Wenger always starts him. So I don't think the Gunners are going to sell him during the summer transfer window."
Song has been with the North London club since 2006.