The midfielder helped Everton reach the fourth round of the FA Cup when one of the marksmen in a 5-1 triumph at Cheltenham.
Osman said: "The manager signalled his attitude towards the game. He put a strong team out and we went out there with the attitude that it was going to be difficult and we had to perform.
"We got to the semi-finals last year and there is a real determination to do well every year.
"You need a bit of luck in the cup and you need to perform on the occasion. We are looking to do that in every round we can this year.
"The draw for the next round (away to Sunderland or Bolton) is difficult. You are always looking for a home draw in the cup.
"But we put out a strong team at Cheltenham and we are hoping to go as far as we can in the competition."