By looking at WWE’s events page on their official website, Styles is not advertised for any TV or live events starting this week until the 6/27 show in Singapore. It should be noted that he is advertised to work the Super Showdown and Stomping Grounds events.
The WWE Super ShowDown pay-per-view event takes place on Friday, June 7th, 2019 in Jeddah, Saudi Arabia at the King Abdullah Sports City Stadium and will air on the WWE Network at 2PM ET/11 AM PT.
The Stomping Grounds pay-per-view event will take place on Sunday, June 23 at the Tacoma Dome in Tacoma, WA. This venue holds over 23,000 seats.
As of this writing, he does not have opponents advertised at these events. Styles is coming off a feud with Universal Champion Seth Rollins.