Price must rebuild what is left of his career following a second successive knockout defeat inside five months to Washington-based veteran Tony Thompson.
Another American will visit these shores on Saturday when Chisora meets the unbeaten Malik Scott at Wembley Arena, but the 29-year-old from Finchley envisaged a different outcome to Price's night of misery.
"Scott's an American fighter. This has become about territory, it's America versus Britain. I'll have to show how we do it to these Yankees," Chisora said.
"I've got a heart, David hasn't got a heart. He's too much of a nice guy. I like fighting.
"As Scott's coach (Jesse Reid) said, this is the fight game. Scott will come back fighting in the same situation."
The acrimony that erupted between Chisora and Scott during an expletive-ridden telephone conference call was absent on Tuesday as the rivals met face to face for the first time.
Scott failed to appear at Monday's scheduled press conference, citing miscommunication from his management over the timings, and those hoping for fireworks on Tuesday afternoon were disappointed.
"The conference call wasn't about mind games, I could get to him so easily if I wanted to. I enjoy the verbals. I could put it on him again right now if I wanted to," Chisora said.
"It will be a good clean fight. There's no danger of it spilling over. He's called me a one-trick pony, but I'll be a great one-trick pony for him. It will be a great fight."
Scott has drawn one of his 36 fights, but his seemingly-impressive record is short on quality opponents.
"For a guy of my style Chisora's very beatable and I'm looking forward to staying undefeated," the 32-year-old said.
"Dereck's the perfect opponent, a tough fighter who will make me earn it and I will put it all on the line on Saturday night."