The phrase "had claim" is often used to refer to a situation in which someone is asserting a right or ownership over something. Some common synonyms for this phrase include "claimed," "asserted," "stated a claim," "contended," "laid claim," "proclaimed," "maintained," "demanded," and "insisted." Depending on the context in which the phrase is being used, different synonyms may be more appropriate than others. For example, "claimed" may be a more neutral and straightforward term, while "insisted" may convey a sense of urgency or determination. Ultimately, the choice of synonym will depend on the nuances and connotations that the speaker or writer wishes to convey.