When you’re making the shift, an email auto-responder, an email signature, and/or just telling people can definitely be helpful. I really like this phrasing: “I’m slow to respond because I’m focusing on something important. Call me if it’s urgent.” Or, “I’m only checking mail 2x a day because I need to spend more time on important projects, but if you need me please text.” Or some variation that’s short, clear, and honest (and also explains a little about why you’re doing it).

Over time, people adjust their expectations.