The creator of “Fortnite” is taking another stab at getting a judge to bring the popular game back to Apple Inc.’s devices, this time disclosing that roughly a third of players access it through the tech giant’s App Store.

Epic Games Inc. late Friday filed a motion seeking a preliminary injunction against Apple, reiterating arguments made in a federal lawsuit last month when it accused the tech giant of monopolistic behavior after pulling “Fortnite” from the App Store. The closely held software developer also sued Google for…