Relentless Pursuit

Card text now reads as:

[Action] (Play on your turn or in showdowns.)

Move a friendly unit. You may attach up to one Equipment with the same controller to it. This turn, that unit has "When I conquer, you may move me to my base."

Q. Can I play Relentless Pursuit if the controler of the unit to move doesn’t control an equipment?

Yes. The card now reads as "up to one Equipment"