We consider the quadratic Zakharov-Kuznetsov equation

$$\partial_t u + \partial_x \Delta u + \partial_x u^2 =0$$

on $\mathbb{R}^3$. A solitary wave solution is given by $Q(x-t,y,z)$, where $Q$ is the ground state solution to

$$-Q + \Delta Q + Q^2 =0$$

We prove that solutions in the energy space $H^1$ that are orbitally stable, that is, remain $H^1$ close to the two-parameter manifold $M$ spanned by dilations and translations of $Q$, are in fact asymptotically stable. Specifically, as $t\to\infty$, they converge to a rescaling and shift of $Q(x-t,y,z)$ in a rightward shifting window $x> \epsilon t$. This result is achieved in the energy space despite the fact that the best available local and global well-posedness result, due to Ribaud \& Vento (2011) and Molinet \& Pilod (2013), is in $H^s$ for $s>1$. Orbital stability results for Zakharov-Kuznetsov were proved by de Bouard (1996). This is joint work with Luiz Gustavo Farah, Svetlana Roudenko, and Kai Yang.