The 48-year-old is currently eighth in the Darts Premier League, but four points on Thursday could push Wright up to fourth in the table.
Barneveld and Anderson sit seventh and fourth in the league respectively, but 'Snakebite' will be looking to leapfrog both of his opponents at the FlyDSA Arena in Sheffield.
"Raymond and Gary are great players and I have to look at Sheffield like I would a European Tour or some of the big TV events," Wright told reporters.
"It's two top players in one night and the only way to get what you want is by beating them all. It's starting to come together and I'm looking forward to the rest of the Premier League season.
"The plan is to keep picking up the wins, I know I'm capable of beating the top players so I have to keep believing. I'm confident going forward. I've got hard games but I know I can win them and I think I'll qualify for The O2."
Wright stabilised his form on Judgement Night last week with two solid draws.