Preheat oven to 180 C or 350 F. Grease a 22cm round springform cake tin and line with baking paper. Set aside.
Sift together flour, baking powder and salt into a medium bowl. Set aside.
Place butter and sugar in another bowl. Beat until pale and fluffy. Add eggs, one at a time, beating well after each addition. Add vanilla and lemon zest. Beat until combined.
Add half of flour mixture. Beat until combined. Add remaining flour mixture. Beat until combined. Using a spatula, fold in chopped peaches.
Transfer the thick cake batter to the cake tin. Bake for 1 hour or until a skewer inserted into the center the cake comes out clean.
Remove cake from oven and allow to cool for 10 minutes. Turn on to a wire rack and allow to cool completely.
Dust with confectioner’s (icing) sugar if desired.