To endeavor to hear
attend, keep one's ears open, be attentive, listen in, pick up, overhear, give attention to, give a hearing to, give ear, hearken, hark, listen to, pay attention, give attention, hear, monitor, tune in*, give ear to*, incline an ear to*, not miss a trick*, lend an ear*, strain one's ears*, prick up one's ears, cock one's ears*.
Antonyms be deaf to, turn a deaf ear to, ignore.
To receive advice cordially
heed, receive, take advice, take under advisement, welcome, accept, entertain, admit, take into consideration, adopt, hear out*.
Antonyms discard*, scorn, refuse.