The Frenchman has not featured for his club since injuring himself while scoring in the club’s 2-1 FA Cup quarter-final defeat to Stoke City, but he believes he will be back in the first team for the Hammers’ game against United on Saturday.
"I am recovering well. The physio and I are hoping this week I can train with the first team,” he told reporters.
"My right toes were injured, it was really painful. It was a shame because I started the Stoke game slowly, but I was able to score.
"I needed to come off and it was a shame for the rest of the game. I think I could have scored again and we might have won the game.
"It has been good for me. I have two weeks to come back," he added. "I have extra time to prepare for the big game against Man U and I hope I can be back."
The Hammers have revived their fortunes in the last few weeks and have won their last two games. Piquionne believes the team is confident they can make it three wins out of three against United.
"Confidence is high," Piquinne continued. "In the Premier League we have had some good results against Stoke and Liverpool at home and we need to keep this confidence against Manchester United. Maybe we can win the game.
"The supporters are very good and we need them for the rest of the season. I hope we stay in the Premier League and the team will do the maximum for that.
"For that I need to stay cool to help my team and I need to train hard to get back into the team."