The Bianconeri boss has acknowledged that Roma deserved to win 1-0 in the Coppa Italia but is unhappy with the decision not to send off Mehdi Benatia
A late Gervinho effort saw Rudi Garcia's side into the semi-finals of the competition at the expense of the Serie A champions.
The former Siena boss feels his troops would also have been worthy winners on the night, but accepted that they came up against good opponents in the form of the Giallorossi.
"It was a balances game, and Roma's goal came when we were playing better. In the first half, we were perhaps a little too shy, but I do think we can say that we suffered.
"We're two strong teams, this time it went in their favour and they won. The guys are not to blame. We have used the Coppa Italia to rotate.
"There's the Scudetto and the Europa League. It was not easy to come here and deal with this Roma. We could have won but in the end they won."
Mehdi Benatia was booked for dragging down Sebastian Giovinco in the first period and Conte went on to say that the Moroccan could have been sent off for the offence.
"I think he was the last man. I don't understand it. However, I'm not going to replace the referee. He decided it that way and we accept it."