The 30-year-old rejoined River from Real Zaragoza earlier this year and has impressed for the Argentine club this season.
It is understood that a host of European clubs have watched the playmaker in recent weeks, with Spurs said to be preparing a January move.
"I knew that some people came to watch me in the match against Boca and I think in another game too," Ponzio told reporters.
"Nobody spoke with me about a possible transfer or real interest. Anyway, regarding my future, I am very comfortable where I am and I feel respect. I would like to take advantage of this moment.
"It's not a year yet since I came back from Spain. Therefore, if an offer arrives, River and me will have to analyse it. I am at a good personal moment and I have to keep on going on in that way. I would like to have the chance to play for the national team again, so I have to keep on doing well at River."
Ponzio has made seven international appearances for Argentina.