What is another word for lays claim?
Pronunciation: [lˈe͡ɪz klˈe͡ɪm] (IPA) 
When making a statement of ownership or right, one might use the phrase "lays claim." However, there are many other words and phrases that can convey the same idea. A person could assert, maintain, stake, or declare their claim. Alternatively, they could indicate their intention to take possession by saying they plan to seize, capture, or secure the object in question. Other synonyms for "lays claim" could include attribute, assert ownership, proclaim ownership, or assert entitlement. Whatever the chosen phrasing, the goal is to make it clear that the speaker believes they have a rightful claim on something.
