Apparently there is no key bindings in the game and a quick glance at the ini files at AppData\Local\AbzuGame doesn't help me any further. This means that on an Azerty keyboard movement is rather illogical...

W (bottom left key) and S (second key on second row) = go down > go up
A (left top key) and D (second row, third key) = Turn Left >right
E (top row third key) to flip
mouse = Free look around character
Right Click = Swim
Left CLick = Boost
Click Mouse Wheel = trick
Shift = Grab animals
Space= Action/sonar

So what you're saying is that rather than the layout pretend it's WASD, it just goes off the literal signal ?

That sounds like an issue you'll have to contact the developer over.

You can see plenty of comments in Steam forums regarding the issue of having non-English standard QWERT keyboard.
They haven't fixed it yet.

Well the most easy thing to do is to add a QWERTY keyboard setup in your regional settings. Then before starting the game you can switch keyboard settings by pushing Windows + Spacebar.

The Z will go up, Q left, D right and S down. I still don't like it, but its better than nothing.