West Ham's move to the renamed London Stadium has also encountered problems off the pitch.
"We are a team expecting something to happen by default", he said.
Slaven Bilic watches
Southampton boss Claude Puel is hopeful that striker Charlie Austin's good form is recognised by a call-up to the England squad.
It is not the letter the co-chairmen of West Ham Utd would have wanted to pen in the first few weeks of the new era of east London football.
"When you are at Upton Park you craved the games there because it sort of guaranteed us 20 points a season, but it is no excuse and we have to pick up points and lively".
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"To be fair, we started well if we are talking about being behind the ball and closing the opponent down, after a couple of games when we were not defending well as a team and conceding eight goals in a couple of games". "He can score lovely, very nice goals".
"You can only say a certain number of times that we need a break or we need some luck because sometimes you make your own luck", said the skipper, who dismissed the criticism that manager Slaven Bilic is getting.
"All of us. It is 80 per cent the same players, same crowd, same manager as last season". "They are training hard and want to do it but it's not happening".
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Zaza's frustration continued when, having been denied what he felt was a penalty in the first half, was booked for a dive after tumbling under Oriol Romeu's challenge in the area. "We scored three goals and didn't take a goal against us". "We had a couple of chances to score but missed the target and they were always very quick in the moment of transition and they had a couple of chances as well". It was important to come back in the second.
"It's not good enough but luckily it's early in the season and we've got time to turn it round". We looked nervous at the start in a large stadium. We lost the ball [in the first half], we were not patient and it was hard to put the ball on the ground. "It was important to correct this".
Former Liverpool midfielder Jamie Redknapp has criticised West Ham midfielder turned defender Michail Antonio for his failure to track Southampton's Ryan Bertrand's run in the build up to Southampton's opening goal at the London Stadium on Sunday.
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