wǒ yǒushíhou zài chāoshì pángbiān zhǎo tā de tóngshì.

I

Breakdown of wǒ yǒushíhou zài chāoshì pángbiān zhǎo tā de tóngshì.

• 的de: possessive particle
• 她tā: she
• 在zài: at

Questions & Answers about wǒ yǒushíhou zài chāoshì pángbiān zhǎo tā de tóngshì.

Where should the time word 有时候 go in the sentence?

The neutral order is Subject + Time + Place + Verb + Object: 我 有时候 在超市旁边 找 她的同事.
You can also front it: 有时候，我在超市旁边找她的同事. Both are natural.

Is 在 required before 超市旁边?

Yes. You need 在 to mark the place of the action: 在超市旁边.
Without 在 (e.g., 我有时候超市旁边找…) is ungrammatical.

Does 找 mean “look for” or “find”?

By itself, 找 = “to look for.”
“Find (successfully)” is usually 找到/找见.

• Look for: 我在超市旁边找她的同事.
• Find: 我在超市旁边找到了她的同事.
• Can’t find: 我在超市旁边找不到她的同事.

Is 在 here a location marker or the progressive aspect marker?

Location marker. It introduces the place: 在超市旁边.
To mark “be doing,” use 在/正在 before the verb: 我正在超市旁边找她的同事 (“I’m looking … now”).

Should I add 去 to show movement to that place?

Add 去 if you want to emphasize going there: 我有时候去超市旁边找她的同事.
Without 去, you’re just stating where the action takes place.