Finding fresh zucchini flowers in Amman can be a bit of a hunt, as they’re seasonal and often sold in specialized or organic markets.Try @Farmers market has seasonal produce, including zucchini flowers when they're in season.
Here is another option I always go for, @Farmers market opens at spring and all farmers sell their fresh harvest, organic produce and handcrafted items made in Jordan. You can go and look around and pick what you want. It's like a Sunday market in Europe.
@Farmers market in Abdoun happens every every week. They're featured in this blog from last week if you'd like to find out more: http://blog.tipntag.com/the-daydreamer-september-2018-week-2-events/