The former Napoli winger moved to Inter in a Bosman transfer last month.
“There were other teams I could have joined. Both in Italy and abroad,” said Zielinski. “There were also clubs who were willing to pay a fee in January.
“But looking at the quality of Inter’s players, and the way that Inzaghi has them playing on the pitch, I felt that it was the right destination for me.
“I chose this project without any doubts, and then waited.”
On adjusting to his new club, Zielinski said: “The first few days were a bit tricky. Everything was new.
“It’s not easy to make a change after eight years. But I have to say that every day things are getting better and better.
“Now I know the atmosphere of the place a little better. It’s a good atmosphere, and that’s made it easy to adapt.
“Before I came here I spoke with (Marko) Arnautovic.
“I asked him for advice on everything. He was right in saying that I would immediately feel comfortable here.”