Heat vegetable oil in a deep pan over medium-high heat to 350°F (175°C).
In a shallow bowl, whisk together flour and milk until smooth.
Add eggs, cream, sugar, salt, and vanilla extract. Whisk until fully combined.
Slice brioche bread into 1 to 1½ inch sticks.
Dip each bread stick into the batter, allowing excess to drip off.
Carefully place into hot oil and fry in batches.
Turn occasionally and cook until golden brown on all sides (about 2–3 minutes per side).
Remove and place on paper towels to drain excess oil.
Serve warm with your favorite toppings.
This French Toast Sticks Recipe delivers perfectly crispy results every time.