Hi,
Their may be a lot of different problems here:
If you are looking at the right GameObject, and the transform position values are not changing, you might have a scaling problem ( object very very small, happens when you import fbx not properly). If it moves visually, this is likely the case, OR you simply don't look at the right gameobject to begin with, happens to if your gameobject is a a child of the controlled gameObject.
your player is very much subject to gravity, that's why you can't move it vertically so easily, do you want to jump ? or actually move? I am not too sure what you are trying to achieve here.
bye,
Jean