At the Cincinnati Open, seventh seed Jessica Pegula proved to be a better player than the British number one.
In the last 16 of the tournament, Raducanu lost to a team that had defeated Serena Williams.
The US Open starts in New York on August 29th and the 19-year-old will be looking to defend her title.
Norrie beat Shelton to reach the men's quarters.
The gulf between the pair was obvious as British number one Norrie defeated the American teenager.
Norrie, who beat Andy Murray in the previous round, will play Carlos Alcaraz in the quarter-finals.
She said her time in Cincinnati showed that making mistakes is not a step backwards.
She said that she has started going for her shots more in the last year.
"This week I was like, 'look, I'm just going to try, I don't care if I make errors, it's fine, I'm just going to overhit if something happens'."
I'm pretty proud of how I did this week, it's a great step to take.
With the caveat that both of her older opponents are nowhere near their prime, the optimism surrounding her increased after her statement wins.
Against Williams, the world number 13 produced her best performance since her shock win at the US Open last year, backing that up with another confident display.
After a tough year, dropping just six games combined in the two victories was a good sign.
The Briton's game is likely to be assessed by facing the consistent Pegula.
It was only the second time in Raducanu's young career that she has faced a top 10 ranked opponent and the second time in her career that she has won a match.
After losing serve in the third game, Raducanu broke straight back but was put under pressure by the heavier ball-striking of the other team.
After pegula took another chance for a 5-5 tie in the ninth game, Raducanu fought off three more break points to hold for 3-2.
She didn't concede a point in the opening set and served for it.
In recent defeats in Washington and Toronto, Raducanu was defeated in tight opening sets.
While her opponent's level remained slightly higher, she showed resilience to stay within a single break when she fell a break down early in the second set.
The impressive Pegula was able to serve out the match without facing a lot of pressure because of the narrow lead.
She is in the process of figuring out what type of player she wants to be as the US Open approaches.
I think I do each aspect well. She said that she needed to put them together.
Some weeks I have served well. I became more of a defensive player when it disappeared. I get more of a player.
I'm trying to find the balance and package my game.
Having to deal with a string of injury setbacks in his first full season on the tour has been a learning curve for the young player.
After a positive week in Cincinnati, she will come back to Queens with renewed hope.
Iga Swiatek lost in the third round for the second tournament in a row.
Madison Keys earned her first win of her career against a world number one when she defeated French Open champion Swiatek.
Swiatek has lost four of her past eight matches.
The Wimbledon champion will play Keys in the quarter-finals.
Petra Kvitova beat Tunisia's Wimbledon runner-up on her way to a 6-1, 3-6, 6-0 victory.
Before he starts his US Open title defence, world number one Daniil Medvedev defeated Canada's Denis Shapovalov in the men's draw.
The American beat the Russian in a tennis match.
Canadian Felix Auger-Aliassime and American John Isner are also through, along with Croatia's Borna Coric who beat another Spaniard.
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