What does “appoint elders” mean in the New Testament?

I’m seeking some theological and exegetical insight regarding the use of the word “appoint” in the New Testament passages about the establishment of elders (e.g. Acts 14:23; Titus 1:5). In many English translations, appoint can sound like a top-down decision made by a few leaders. However, the Greek terms involved (such as χειροτονέω and καθίστημι) seem to carry a broader sense related to recognition, commissioning, or placing someone into a role, often within a communal or ecclesial context. My question is this: Does the New Testament use of “appoint elders” necessarily imply a unilateral decision by church leaders, or does it presuppose some form of communal discernment, recognition, or confirmation by the local church? I would appreciate perspectives from biblical studies, church history, or different ecclesiological traditions.