The 20-year-old, who left West Africa as a four-year-old, told British media on Tuesday that he was still undecided about which country he would ultimately opt for.
"It's 50/50 because I was born in Ivory Coast but all I know is England," he told The Guardian newspaper.
"When the time comes, I'll make a choice. For now I just want to reach the top."
Wednesday's match in Stockholm is classed as a non-competitive game by FIFA, which means Zaha would not be committing himself to England long-term if he makes an appearance.
The Sun newspaper quoted former Chelsea striker Salomon Kalou, now with Lille in France, as saying: "I'm unhappy Zaha has chosen England - he is Ivorian and his place is with us.
"He must remember it is not easy to play for - and triumph - with England."
