A solid metal sphere and a solid wooden sphere are having the same mass. If they are spinning with  same angular velocity, then

The wooden sphere will have a higher moment of inertia as compared to the metal sphere due to its lower density.

We know angular momentum is given as

$\mathrm{L} = \mathrm{I\omega }$

where I is the moment of inertia and $\mathrm{\omega }$ is the angular velocity.

Therefore, the wooden sphere will have more angular momentum.