Dic: have (sbd or sth) in your sights

■

 _(1) have somebody in your sights: to intend to attack or defeat someone.

• He's trying to build up his media empire and he has the owners of rival newspapers in his sights.

 _(2) have something in your sights: to be trying to achieve something, especially when you are very likely to succeed.

• After months of training, Hilary now has the gold medal firmly in her sights.

■ have someone or something in one's sights

 _(1) Lit. to have one's gun aimed at someone or something.

• The sniper had the soldier in his sights.
• I had the deer in my sights. I fired.

 _(2) Fig. to consider someone or something one's goal or conquest.

• I have a promotion in my sights and I hope to get it before the end of the year.
• I've had Sally in my sights for years. I intend to marry her.

.... Cambridge Idioms Dictionary,

McGraw-Hill Dictionary of American Idioms and Phrasal Verbs

■ sights as your aim/expectation

• Rossi has the defending champion in her sights in tomorrow's race. [have sb/sth in/within]
• After failing to get into university, he lowered his sights and got a job in a shop. [lower, raise]
• She has her sights set on becoming a writer. [set your sights on sth; have your sights set on sth]
• He says he wants to win the trophy, but I think he's setting his sights too high. [set your sights high/low]

.... Oxford Collocations Dictionary for Students of English