In the 1998–1999 season, while playing in a UEFA Champions League match against Juventus, Georgatos caught the eye of Italian club Inter Milan, signing him in the 1999–2000 season for €7 million. He settled well in Serie A, playing 28 matches and scoring 2 goals for Inter. Despite that, he returned home the next season to Olympiacos for a season-long loan, as he was sad and missed his family, house and Athens city. However, his love affair with Olympiacos lasted just one year. The following season, he returned to the Serie A, with Georgatos choosing to rejoin Inter after losing his first-team place at the Greek giants. Although he returned to Inter, he could not get back into the first-team because of an injury that kept him out for a while, playing only 10 matches and scoring 1 goal that season.