The phrase "abandon claim" is correct and usable in written English.
It can be used in legal or formal contexts when someone decides to give up or relinquish their right to a claim or entitlement.
Example: "After careful consideration, the plaintiff decided to abandon claim to the property in question."
Alternatives: "relinquish claim" or "waive claim".
Athens, as its chief concession, had to abandon claims to Amphipolis formally.
1988 Jordan abandons claim to West Bank, ceding it to PLO.
Payment of abandoned claims prohibited.
§ 17.131 Payment of abandoned claims prohibited.
38 CFR § 17.131 - Payment of abandoned claims prohibited.
The abandoned claims are those for violation of the Iowa Computer Crimes Act (Count I), and unjust enrichment (Count VII).
At first ties between the new Soviet Union and secularised Kemalist Turkey notably improved, and Russia abandoned claims to parts of north-eastern Turkey and to the Turkish Straits that allowed it access to the Mediterranean.
The Allies dropped their demands of autonomy for Turkish Kurdistan and Turkish cession of territory to Armenia, abandoned claims to spheres of influence in Turkey, and imposed no controls over Turkey's finances or armed forces.
Despite the economic significance of the project, a number of Peruvian and international organisations have expressed concern about the expansion and called for it to be abandoned, claiming that it violates indigenous peoples' rights and could have catastrophic impacts.
President Zardari, who has stated "the undeclared policy of running with the hare and hunting with the hound was abandoned," claims that Pakistan has turned against Islamist militants.
The decision of the Parthian King Artabanus III to place his son on the vacant Armenian throne triggered a war with Rome in 36 AD, which ended when Artabanus III abandoned claims to a Parthian sphere of influence in Armenia.
