Rodriguez found the net twice as the Colombians triumphed 2-0 in the last-16 clash, convincing Tabarez that he is up there with the very best South American players.
"I know him - not personally, but I've seen him play for a while. He arrived in Argentina at 17 and already showed his talent," he said.
"Talents are those who do things which have nothing to do with their life experience - [Diego] Maradona, [Lionel] Messi, [Luis] Suarez. They do things because they have certain gifts that make him special.
"It's not up to me, but from what I've seen he's the best player in the World Cup. I don't think I'm exaggerating."
Colombia will take on hosts Brazil in the quarter-finals after they overcame Chile on penalties following a 1-1 draw.