The phrase "makes a suggestion" is a correct and usable phrase in written English.
For example, you could use it in a sentence like this: "The committee made a suggestion to reduce costs."
'He just makes a suggestion and it is normally brilliant.
"What if the administration makes a suggestion that he doesn't agree with?
At the funeral, a friend of Martha makes a suggestion: "I can sign you up to something that helps," she says.
One student makes a suggestion: perhaps the school could use "a more musically interesting version of the anthem," by Whitney Houston, Marvin Gaye, Jimi Hendrix.
Instead, led by the book's subtitle 'Reimagine your world with 50 drawing activities', he makes a suggestion of what to draw and then provides a few visual prompts to help any young artist get started.
No one looks like models except models: that's the whole point.' Then she makes a suggestion about Posh Spice that is so lewd that I almost splutter my coffee all over the table.
