In a mixing bowl, whisk together the heavy cream, whole milk, granulated sugar, matcha powder, vanilla extract, and salt until well combined and the sugar is dissolved.

Cover the bowl with plastic wrap and refrigerate for at least 2 hours, or until the mixture is thoroughly chilled.

Pour the chilled mixture into an ice cream maker and churn according to the manufacturer's instructions until it reaches a soft-serve consistency.

Transfer the churned ice cream to an airtight container and freeze for at least 2 hours to firm up before serving.