Manuel Lazzari and Ciro Immobile struck the goals for the visitors.
“I think Lazio's problems after the lockdown were that we didn't have enough players to cover a game every couple of days. We still have injuries, but at least I do have some options now," the coach told Sky Sport Italia.
“I am happy to train these lads every day, as they love the jersey and the club, they work with such professionalism, and therefore I am not surprised by this victory in a very difficult match."
Inzaghi was also pushed about new contract talks.
“I have not yet extended my contract with Lazio because our President is very busy at the moment, with Lazio, Salernitana, the transfer market and his business. When we get time, we'll sit down and evaluate everything."