Piquionne is certain there will be no more struggles in East London after slumping to the foot of the table with one point from five league games.
He said: "We need points but I'm sure that at the end of the season we will be in the top ten. We have the players to do that.
"Players have come in, we need time to play together and we've played better in the last two games.
"We need to win at home on Saturday against Spurs.
"But the boss knows what to do. We had some tough times at Portsmouth, but everyone at West Ham knows we'll be OK."