Put the peaches into the bowl of a food processor fitted with the chopping blade. Pulse peaches until rough/finely chopped (depending on preference). Place the chopped peaches in a bowl.
In a medium bowl, use a hand mixer on low speed or whisk to combine the milk, sugar, and salt until the sugar is dissolved. Stir in the heavy cream, yuzu juice and vanilla. Stir in the reserved peaches with all the juices. Cover and refrigerate for 1 to 2 hours, or overnight.
Turn on the ice cream maker; pour the mixture into the frozen freezer bowl and let the mix thicken for about 20 to 25 minutes. The ice cream will have a soft, creamy texture. If a firmer consistency is desired, transfer the ice cream into an airtight container and place in the freezer for about 2 hours. Remove from the freezer 15 minutes before serving.