Tightness in the arch of the foot is not the result of jumping nor is it from jumping.
Tightness of the arch of the foot would either exist before jumping or after jumping, but not from jumping.
A loose arch tenses up at the start of a jump and at landing when the feet hit the ground. The tightness after landing indicates that the arch muscles are not flexing and not relaxing. This indicates also that the elasticity of the arch of the foot is not elastic and not flexible enough and that the arch tendon is “frozen”. The tensing of the arch of the foot at the start of a jump would not remain tight throughout the jump unless it was already very tight at the beginning before the jump started.
First, roll the arch of the foot over a golf ball, a baseball, a PVC pipe, until the arch of the foot feels loose. Then go and do the jumping exercise. After the exercise, soak the foot in hot water, give the foot a good foot massage, and then roll the arch of the foot over a golf ball or a baseball or a PVC pipe again to further loosen the arch tendon.
It is the extreme tightness of the tendon of the arch of the foot from the outset before any jumping that prevents the tendon of the arch of the foot from flexing that makes it feel as if jumping has anything to do with the tightness in the arch afterwards. Jumping will relax the arch tendon if the tendon starts out relaxed, tenses up at the start of the jump, then tenses up again on impact, and then relaxes immediately afterwards.