Having management experience on your resume is a good thing, assuming you are open to managing again.
That’s not my experience at least. Sometimes you’ll get a candidate where it turns out that they aren’t as good at something as they made it sound, but I can’t recall a single time someone ever doubted a candidate before the person made us have a reason to doubt them.
In all seriousness, no business owner wakes up thinking they want to hire another expensive middle manager. Filling a director role means that a business decided to pay a significant salary for management of something important to the business. That means something on a resume, and is totally worth keeping there to showcase your skills.
As long as you had substantive experience and can show it, then yes. If it was a title only, then probably not.