Inter have paid €20m to Tottenham for the Dane, who has signed a deal to 2024.
"I couldn't wait to join, it's wonderful to be here and I'm happy to be a new Inter player," Eriksen told InterTV.
“I'm very excited and can't wait to introduce myself to the fans. I've already experienced their warmth. It's been a fantastic welcome. I feel great."
He added: “I'm not really someone who places great importance on statistics, but I know that there are people who like talking about this," he added. “The numbers say that I did really well in England. It's now time to start a new challenge, I'm really happy to have the opportunity to play in Serie A for a big team. Inter is a fantastic club."