"If you look at the performances this season we need to improve in every way – offensively, defensively and we need to be a more creative team, we need to try and not concede too many goals – we need to step up," the Argentine told the club's website (www.whufc.com).
"It is time to be positive and look forward to the season. There's a long way to go and everything depends on us, which is good."
Moyes' first game in charge will be against ninth-placed Watford, who have lost their last three league games, and Zabaleta believes West Ham have enough talent to overcome Marco Silva's side.
"Of course, it's going to be a tough game but we have a good squad – we need to work well and be focused on our next game," the 32-year-old added.
(Reporting by Aditi Prakash in Bengaluru; editing by Sudipto Ganguly)
