Hull currently sit inside the top half of the table during international week.
"I expect us to stay up. I expect us to win every game if we can," Rosenior told the Hull Daily Mail.
"The Premier League has learnt that we're going to be a hard team to beat. We don't lie down for anyone and we give our all every game.
"You won't see too many teams beating us by four or five this season, that's for sure."
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