The Hammers lost their fourth consecutive Premier League match on Saturday, beaten 1-0 by West Brom, a result that saw some supporters call for the manager to be sacked
Allardyce bore the brunt of fan dissatisfaction in Saturday's 1-0 defeat at relegation-threatened West Brom, with a banner unfurled calling for the 59-year-old to be sacked.
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He observed to the press: "We all get it [criticism] at some stage, no matter who we are or who we're with, if we're not winning football matches.
"Fans show their disapproval quicker than at any other time I know now within the last 20 years so we have to accept that change in the game and we have to keep them happy as best we can and the best way to keep them happy is to win football matches.
"So my responsibility is to build a better team than this one. Overall this season we haven't really been as good as we should have been.
"We haven't really produced enough results so getting better and improving that is obviously the highest thing on the agenda."