As long as Madrid can keep all their players injury free like last season, I'm confident they can focus on winning multiple titles, just like they did last season. Madrid won the UCL and La Liga when all the players consistently contributed and maintained their fitness levels. This season, it seems Alonso understands Madrid's weaknesses and won't repeat Ancelotti's mistakes, with the desire to bring Madrid back to its strongest form.
It is not in the hands of the management or the manager to keep the players from from injuries as you know injuries happen unexpectedly but if they escape having injuries it's just luck. Last season Real Madrid didn't win any trophy I think you are mistaken their performance in the previous seasons but this season under a new young manager Real Madrid will be aiming to win trophies like the champions League and La Liga which I think they will focus more on this season.
I think what @leni is trying to convey is that one season ago, or rather before Mbappe was recruited, Real Madrid did indeed win a title. Furthermore you're also wrong; last season, Real Madrid also won two minor titles, the UEFA Super Cup and the Intercontinental Cup.
And regarding injuries, injuries do happen unexpectedly. Not all of them can be prevented, but coaches and management have a responsibility to minimize the risk of injury through player rotation, a careful medical approach and proper training methods.