I don't think the Angels are opposed to having Shohei Ohtani hit and pitch in the same game if his turn in the rotation happens when they're scheduled to play at a National League ballpark. It's something Ohtani did a handful of times in Japan, so it wouldn't be completely new to him.
If Ohtani hadn't sprained his left ankle and had his start pushed back to Sunday, we probably would have seen him hit and pitch in the same game against the Rockies at Coors Field this week. The possibility could present itself again, as the Angels still have Interleague series scheduled at Los Angeles, Arizona and San Diego this season.