The former Pachuca star had already been generating transfer talk prior to this summer’s showpiece in Russia, with a 17-goal haul in an Eredivisie title triumph for PSV attracting interest from the likes of Arsenal and Liverpool.
He told Sky Sports News: "I think Hirving, since he moved to PSV Eindhoven, I think he has made the next step up. He's an unbelievable prospect.
"His pace, his ability to take people on makes me believe that he is a player that will go very far, hopefully he can show that in the next game.
"I just think that whoever takes a chance on him will do well. His pace and again his ability to take people on, he can play in any league and any place.
"I think he will be able to - and he has the tools to play - in the Premier League."
While Lozano has enhanced his reputation with a star showing in a global shop window, Osorio has also earned plenty of praise for his efforts.
The 57-year-old pieced together plans to down Germany many months ago, with his tactics executed to perfection by an ambitious side hoping to go deep into a major international tournament.
He added: "We decided a plan a couple of months ago and confirmed the plan once we saw Germany against Spain, Brazil and their final preparation game against Saudi Arabia in Leverkusen, a game that I watched live.
"We prevented them from playing a top, top game. We put a lot of pressure on them and made their lives very tough and very difficult.
"I think we can go far, yes. I think it's too soon to say we can win the World Cup. But watching the other games and seeing the way we performed yesterday I honestly think we can compete against any team."