The 28-year-old joined the Nerazzurri at the end of the January transfer window, and has said that he moved in order to play in the Champions League.
"I want to clarify that no-one forced me to say anything. I chose to go away and it was not a question of money," he told GoldTV. "After a fantastic three-and-a-half years, where I was always treated with dignity by Claudio Lotito and Igli Tare, I realised that if I wanted to play in the Champions League or win the Scudetto, I had to try something new.
"With Lazio, me and my team-mates were not able to reach certain goals. So, as soon as the opportunity came, I took it. I thought about, when Inter came in for me, and I made my decision. Again, after three-and-a-half years, I realised I would not have been able to achieve my dreams with Lazio.
"Inter made me an offer. This is a team that has a name, a higher outlook where maybe I can achieve my goals. It is not a question of money."
Hernanes has won 23 caps for the Brazilian national side.