The 24 year old recently impressed while on trial with the Foxes, and the Championship club have agreed a fee with the Dutch outfit for his services, but Foxes boss Sven-Goran Eriksson has still not made a final decision.
"I am very keen on moving to Leicester and I mean they have high ambitions," Parker told Kickoff.com. "I know I can do well given a chance there.
He added: "I don't know what's happening now (with the deal), but I think it will go through.
"What I know is that the two teams have agreed a fee and we are now waiting for Twente to make the final decision but I haven't heard anything yet, but my manager (Mike Makaab) says we must wait on Leicester while we look at other possibilities."
Parker fears his international career will be put at risk if he keeps warming the bench at Twente.
He added: "I want to go for the sake of game time. I want to be ready when I come to play for the national team but that's not possible if you are not playing at club level.
"I don't want to lose my position in the national team.
"There are other strikers coming through like Davide Somma and so on, so for me to keep my place in the Bafana team I have to be playing at club level and I'm not playing at FC Twente, that's why I want to go.
"If I don't play I will lose my sharpness and one disappointing game and I don't get called up to the national team.
"I can't afford to miss out on playing for my country because I'm not playing for my club.
"But I'm positive and I know something will happen before the end of January."