PNG lost to Brazil 9-0 last night in their first FIFA U20 Women's World Cup match at the Sir John Guise (SJG) stadium in Port Moresby.
PNG did not qualify on merit for the World Cup but are required to take part as a host nation.
Cole admitted that she was disappointed in some of the fans who displayed bitterness towards the PNG side.
She said two young players were put on the bench in the second half after been sworn at by the fans which is not acceptable.
Cole stressed that the PNG girls are 16 to 19 years old and the expectation of them by the public is too big.
“People need to be more supportive as after the investment that we put into them, they’re going to give it their best.
“But you also have to realise that they will improve over time and this is the first step of their journey.
“Although I was pleased with PNG’s support, I hope that those fans would just stay away next time,” Cole said.
PNG plays Sweden in their second match of the World Cup on Wednesday at the SJG stadium.
PNG is pooled in Group A with Brazil, Sweden and Korea DPR.