Franz applies status conditions from melee attacks regardless if the attack hits

For example, take the following action from the CR 1 Ghoul.

Melee Weapon Attack: +4 to hit, reach 5 ft., one target. Hit: 7 (2d4 + 2) slashing damage. If the target is a creature other than an elf or undead, it must succeed on a DC 10 Constitution saving throw or be paralyzed for 1 minute. The target can repeat the saving throw at the end of each of its turns, ending the effect on itself on a success.

The paralyzed condition of an action like this typically requires hitting the target both the saving throw is rolled. You would assume it requires hitting unless it specifies otherwise.