The Brazil-born midfielder believes his side deserved to beat England and insists the Azzurri have the momentum to go on and beat favorites Germany in the semifinals
"First we have to enjoy this moment. We are really happy right now. We have reached the semifinals and this is not an easy feat. Then we will start the preparation," he told Goal.com.
Cesare Prandelli's men defeated England in their last eight clash on Sunday, winning a penalty shootout 4-2 after 120 minutes could not separate the teams.
And, though he insists his side must concentrate on their recovery, the Paris Saint-Germain man believes the Italians can now go on to achieve something "special".
"The first part of that will be to ensure that everyone is fully rested. We now play another really difficult opponent on Thursday. Germany is a different rival altogether," Motta said.
"They play very well together as a team. They are also a very close knit unit. But I feel we have the momentum now. I do feel that we could do something very special here."
The former Barcelona midfielder also revealed that he feared Italy's luck was out as it toiled to a 0-0 draw against Roy Hodgson's men.
When asked if he thought it was not going to be his side's night, he replied: "It has happened before and it could have happened again.
"As a team we went through a lot out there but I think in the end we really did deserve to go through on this occasion.
"We had a really big rival in front of us. They were well organized and everyone of them was defending really solidly in front of each other.
"In the end we had to take them to penalties. I think as I have just said, we did deserve to win it but you still have to credit them for that achievement."
The 29-year-old refused, however, to criticize England's negative approach which saw them sit deep and attempt to hurt the Italians on the counter.
"I genuinely think that every team has its own style. Every team has to play to its strength in order to win. We have seen that already this year. I mean just look at Chelsea," he added.
"They have shown us that you can play in this defensive way and be a winner. Everyone has to put forward their strongest characteristics in order to get the result. "
The Brazil-born midfielder had to settle for a place on the bench against the Three Lions having only just recovered from a muscle injury, but insists he will be fully fit in time for the next game.
"No there was no frustration on my part. In my career I have been involved in some beautiful moments playing football and also in some horrible ones too," he continued.
"I have suffered, I have lost and I have won. Everyone one of us as players has to make sure that we are at the maximum we can be so whenever we are selected we can give our best performance.
"I don't expect to be playing every game. Football is like that. The team played really because we have a squad of tremendous talent and for every game the coach can select from any one of us.
"So now I am just going to make sure that If I called upon for the next game I will be ready!"