Joshua, who is the reigning IBO, IBF and WBA heavyweight champion, is looking to unify all the belts in 2018.
The Watford-born fighter is being lined up with three super bouts in order to achieve his aim, with Wilder, Parker and Tyson Fury all on the radar.
Parker recently gave a press conference and cheekily offered £20,000 to anyone who could find footage of him being dropped.
Talks are ongoing between the Parker and Joshua camps, but the split of the prize purse remains an issue.
When asked for his thoughts about what Parker and Wilder will be feeling, Joshua told Sky Sports News: “I just don’t know where Parker and Wilder’s mindsets are and what they want.
“I just think they have poor PR management.”
And when pressed for his thoughts on the chances of a fight with Wilder or Parker, Joshua added: “The situation with Parker, we have presented an offer to them, and we’ll patiently wait.
“Nothing’s been agreed and it’s the same situation with Tyson Fury.
“I want to be the undisputed champion of the world, and to do that I must fight Wilder and Parker.
“With Wilder – who said I’m running scared – the same situation, and we’ve been talking with his team.
“We staged a fight with one of the all-time greats, Wladimir Klitschko, and staged a fantastic fight at Wembley, where we put our egos and demands to one side.”