How do I do a patch request using HttpClient in dotnet core?

Thanks to Daniel A. White’s comment, I got the following working.

using (var client = new HttpClient())
{       
    var request = new HttpRequestMessage(new HttpMethod("PATCH"), "your-api-endpoint");

    try
    {
        response = await client.SendAsync(request);
    }
    catch (HttpRequestException ex)
    {
        // Failed
    }
}

EDIT: For .NET (Core) see @LxL answer.