The Eagles scored their first home goals of the season in Sunday's 2-2 draw with Arsenal.
Despite the valuable point, Palace remain just three points above the drop zone. But Ayew isn't concerned.
"We know we have confidence in ourselves," said Ayew.
"This Premier League is not easy but, we had a good performance [against Arsenal] and we will build on that. We will see what will happen next. We have to stay positive because we played very well [in the 2-2 draw with Arsenal]."