Just four days on from posting his best major finish at Royal Troon, Horschel returns to action on Thursday in the PGA Tour’s 3M Open in Minnesota.
The 37-year-old held the 54-hole lead at The Open but was powerless to stop Schauffele, who carded a six-under 65 to add the Claret Jug to his US PGA Championship win in May.
While Horschel remains disappointed that a couple of poor shots prevented him from putting more pressure on Schauffele, he says he is proud of how he handled the pressure of contending at a major.
“I’m happy with how I handled Sunday. The nerves I thought I would have weren’t there,” he added.
“I felt very comfortable in that arena in that moment. Unfortunately, I missed a short putt at eight and made a bad swing at 10. Other than that, I played really good.
“I would have had to play spectacularly to chase down Xander, he played an unbelievable round of golf.
“Disappointed, when you have a chance to win a major and don’t get the job done it hurts a little bit. But I can hold my head up high knowing I didn’t lose the tournament.”
The 2024 Irish Open takes place 12-15 September, with McIlroy, Horschel and Shane Lowry among the notable players in the field, while Sweden’s Vincent Norrman is the defending champion.