He is also optimistic the WBO will make the heavyweight title available following Tyson Fury's well-publicised issues.
Arum and Lonergan will both be at an upcoming WBO convention in Puerto Rico and both expect a good result for their men.
"I'm very very optimistic the result will be all boats ahead and ready to go," Arum said. "It makes sense - Parker and Ruiz are two top contenders and the WBO will have a great champion."
As an experienced promoter, Arum has sway with the WBO. The fact that Top Rank have six WBO world champions won't hurt either, so the chances are that Parker's next fight will be the biggest to be held in New Zealand, and probably Auckland.
The American said he was looking forward to visiting New Zealand.
"I believe boxing is a great global sport. I've never had the opportunity to participate in an event in New Zealand. I'm looking forward to it. It's a great country, great people, great athletic tradition. New Zealand rugby is famous all over the world and so I'm looking forward to visiting."
Parker and Ruiz have sparred together, with the Kiwi getting the better of the Mexican-American in their last two meetings. However, Arum is under the impression that Ruiz Jr is far quicker, a comment which will be met by surprise by most boxing aficionados.
"Parker is a very strong kid," Arum said. "He's a good puncher with a nice strong chin, so he's very dangerous. He's a real top level heavyweight, but he is slow, he isn't a fast heavyweight, and Andy, who looks slow, is really a very, very fast heavyweight. He probably has the quickest hands in the division. He hits well and will give a good account of himself.
"Whichever way it goes, and it could go either way, it will be an exciting contest."