Davis, who requested to be traded from the Pelicans, listed Milwaukee as a preferred landing spot on his revised list of teams he would like to play for.
"I saw that report, and I think it's great," Lasry told Sporting News. "It's a little bit of what we want. We want players to come and play in Milwaukee. And part of it is, when you're winning and you're setting a standard for excellence, people see that. People want to win."
He continued: "We hope it would be players like Anthony Davis and others who want to come to Milwaukee."
Lasry's comments violated league tampering rules that prohibit team representatives from commenting on other teams' players, especially in an effort to openly and publicly recruit.
Lasry is not the first person to run afoul of the NBA's anti-tampering guidelines in recent years. The Lakers were fined $500,000 for showing "a prohibited expression of interest" in Paul George when he played for the Indiana Pacers. The team also was fined $50,000 when Magic Johnson publicly praised Giannis Antetokounmpo in June.
Davis, who is set to be a free agent in 2020, will play the rest of the season with the Pelicans after New Orleans decided not to trade the All-Star before last Thursday's deadline.