看好 kànhǎo to regard as having good prospects

How to remember 看好: 看 look at + 好 good = to regard as having good prospects.

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To be optimistic about / bet on something's prospects - 大家都看好这支球队 (dàjiā dōu kànhǎo zhè zhī qiúduì) everyone favors this team.
Note 好 is hǎo (4th-ish, used as 'have good prospects'); it means you expect success, common in markets and sports.
Contrast 看好 in the sense 'keep watch over' 看好孩子 (kānhǎo háizi, watch the kids), where 看 is kān.