Add the milk, blood orange syrup, chocolate chips, and cocoa powder to a small saucepan and heat over medium-low heat. Whisk frequently until the chocolate is melted and everything is well combined and smooth.
Remove the chocolate mixture from the heat, add the orange extract (if using), and froth with a milk frother. Set aside.
Brew your espresso or coffee into a mug, then top with the frothed orange chocolate milk. Drink up!