Florentino Perez has returned as Real president pledging a "spectacular sporting project" and the arrival of Cristiano Ronaldo, Kaka, Karim Benzema, Xabi Alonso and others has lifted the hopes of the fans.
The club have a chance to lay down a marker at home to Depor as Barca's opening La Liga match against Sporting Gijon has been put back to Monday due to the European and Spanish champions' Super Cup clash against Shakhtar Donetsk of Ukraine on Friday.
"It's not about any individual player but about the whole team which has to organise itself and hone a collective strategy," Spain midfielder Alonso told the daily Publico on Thursday.
Real's strategy will be maintaining possession, controlling the tempo of matches, being dynamic and showing movement in attack, added Alonso who joined from Liverpool this month.
As well as La Liga, the Catalans will also be defending their Champions League and King's Cup titles and contesting the FIFA Club World Cup.
"Repeating the treble will be very difficult," midfielder Sergio Busquets told the club's website.
"We are the only club who have done it in Spain and very few teams in Europe have matched it. But you win titles by taking it slowly, each match at a time, like last season."
Busquets is one of a core of Barca players including Argentina forward Lionel Messi and Spain midfielders Xavi and Andres Iniesta who came through the club's youth system.
Ibrahimovic joined from Italian champions Inter Milan in a swap deal with Samuel Eto'o and believes Real will be under a lot more pressure to succeed this season than Barca.
"They have bought players to try to win, to try to create a winning team, whereas I have come to a club that is already a winner," the Swede told the As newspaper.
"Clearly you can't do that in 24 hours, nor in a week or even a month. You need time."
"Winning the league is extremely difficult and the clubs who are obliged to do so are the ones with the most revenue," president Jose Maria del Nido told the club's website.
"But we have built a squad that is competitive enough to hold our own in a fight with the big guys."
