To set one's sights on something or someone; to take an interest in and target or zero in on.
彼は次のプロジェクトで若い市場に目をつけている。
He has his eye on a young market for the next project.
店長は新商品の売れ行きに目をつけている。
The manager is keeping an eye on how the new product sells.
警察は容疑者に目をつけて、尾行を始めた。
The police zeroed in on the suspect and began tailing him.
その会社は有望な人材に早く目をつけたほうがいい。
That company should quickly set its sights on promising talent.