I am in a bit of a quandary here.
I always tell everybody to follow the recommendations of the manufacturer.
At the same time I know that the L298 has been used on many circuit boards, sold in the ten-thousands for Arduino, Raspberry-Pi etc.
AFAIK none of those board follow that recommendation and they all seem to survive again and again.
R1 and D1 remove the enable as soon as Vs goes away. (Power off).
D3 and C1 hold the power a bit longer. The value of C1 depends on how much load there is. 100uF might be sufficient.
R2 and R3 pass the enable only if the power is above a certain level (The exact voltage depends on the type of AND gate you use, HC, HCT, LS).
simulate this circuit – Schematic created using CircuitLab
Now I am going to say something unprofessional: if it would be my circuit, I would not bother.