The Giallorossi have made no secret of the fact they want Montella to come back to the bench he held last season after Luis Enrique walked away.
"It has been a very intense week in which I was talked about, to my chagrin, which is why I chose not to speak in a press conference yesterday," he told Sky Sport Italia.
"I am flattered by director Walter Sabatini's words, but I owe a great deal to Catania, the President and these fans.
"They know I have a weakness for Roma, having a past there as a player, a Coach and other ties to that city.
"In any case, it's all hypothetical. First let's see if this interest is real, then in that case I will speak to the President and make a decision together.
"I have a contract and intend to respect it, because I am happy here. At the moment there is nothing other than a few jokes made in public."