Roche would become the first woman to win the award if she beats off competition from Rodriguez and Van Persie in a public vote which will be conducted via FIFA.com and France Football.
Roche, 25, told Sky Sports News: "It is always a good step to see women nominated for the Puskas Award and this is obviously the first time one has been in the top three.
"I am obviously proud as a woman but I am just proud as a footballer to be recognised at this level and for Fifa to see it as a good goal."
It is thought only 95 spectators saw the goal live but it has since earned millions of views on the internet. It raised her profile and she has since moved on to play professionally for French club ASPTT Albi.
She said: "With this goal I had more interest. I came on trial and it worked out. I think the goal kind of helped but I don't think it was the making of it!"
Roche will discover if she has won the award at a ceremony in Zurich on January 12.
-THE INDEPENDENT