El Toro bagged a hat-trick against Mexico, meaning he now has a remarkable 12 goals in 14 senior caps.
“It'd be wonderful to see him play with Leo Messi at Barcelona," agent Beto Yaque told TyC Sports.
“It's great to see him play like that, so relaxed and happy. He has remarkable control in his first touch and that makes it very difficult for defenders to catch him."
He added: “Lautaro is very humble. When I went to meet him at Bahia Blanca, it wasn't easy to take him with me, as he was very close to his family and felt homesick. Fortunately, his parents trusted me.
“Before going to Inter, I told him he wouldn't struggle to settle in, because I know that whatever Lautaro puts into his head, he achieves. It's no mean feat to waltz into San Siro and play as if it's your backyard."