Osman, who was also part of the Everton team that qualified for the Champions League in the 2004-05 season, believes that the Toffees are a more attractive side under Martinez.
"Tony Hibbert and I are the only survivors from when we last finished fourth," Clubcall.com quotes him as saying.
"I think we surprised a lot of people back then with a counter-attacking approach, but this time, we are pleasing on the eye. Football-wise, you have to say this is the better side.
"We are winning games and playing some really good stuff."
Everton host Crystal Palace at Goodison Park on Wednesday evening.