The Brazilian came off the bench and had half an hour in the defeat against Crystal Palace, leaving a positive impression on his manager.
“I thought Nene did well, he showed some nice touches and it’s encouraging for us for the upcoming games,” said the boss.
“It’ll take a few games to get up to the required speed of this level, but he showed he can find space in a crowded area which is an important quality. The more he plays, the better he’ll get.”
West Ham now face a difficult league game against Chelsea this week, with Jose Mourinho’s men likely to be lifted by their League Cup final win against Tottenham.
Nene is unlikely to start that game, but if he comes off the bench and grabs his first goal for the club, he’ll place pressure on the manager to start him looking ahead to the game against Arsenal on March 14.
Nene was always going to stand a good chance of having a good debut because of the determination he would have had to impress his new manager and the club’s fans.
Some West Ham fans may be confused over why the club signed him, which leaves him with a point to prove over the rest of the season.
He’s also only signed a deal to the end of the season, which means if he wants his contract to be renwed, he has to show Allardyce and the club something which would justify that decision.