The Chilean winger is being linked with a number of clubs in the past month or so and Lombardo believes it would be of great benefit to City if they threw everything into their pursuit of the talented 22-year old.
"He is an excellent player for any big club in Europe. This past season he proved to be one of the best in Serie A, and because of that, his name is linked to many of the big clubs," he told La Tercera.
"He is a very fast player, a great champion, he's very brave, he has an excellent personality and he has great control of the ball. He has the ability to score goals and supply assists for his team-mates. I repeat, he would be a major boost for any team.
"But I stress that we are in the transfer market here in Europe and there are a lot of rumours. Players like Sanchez are always on top of the lists for the big teams and that's normal.
"I hope Alexis Sanchez signs with City, why not. He will be an important reinforcement for any team. But I repeat, it's not something that depends on me."