How to write a Rust function that takes an iterator?

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You want to use generics here:

fn find_min<'a, I>(vals: I) -> Option<&'a u32>
where
    I: Iterator<Item = &'a u32>,
{
    vals.min()
}

Traits can be used in two ways: as bounds on type parameters and as trait objects. The book The Rust Programming Language has a chapter on traits and a chapter on trait objects that explain these two use cases.

Additionally, you often want to take something that implements IntoIterator as this can make the code calling your function nicer:

fn find_min<'a, I>(vals: I) -> Option<&'a u32>
where
    I: IntoIterator<Item = &'a u32>,
{
    vals.into_iter().min()
}

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