If you're using the basic mode (cPanel plugin) you can easily disable CloudFlare by deactivating the service for any subdomain for which it's active... just click the orange cloud button so that it becomes gray in color. 
See more info about CloudFlare:

<ul>
	<li>
	<a data-mce-href="https://help.asmallorange.com/index.php?/Knowledgebase/Article/View/300/0/what-is-cloudflare" href="https://customerservice.asmallorange.com/prweb/PRAuth/webkm/help/article/aso-cloudflare-overview" target="_blank">What is CloudFlare?</a>
	</li>
	<li>
	<a href="https://customerservice.asmallorange.com/prweb/PRAuth/webkm/help/article/aso-change-nameservers-for-cloudflare" target="_blank">Change Nameservers for CloudFlare</a>
	</li>
</ul>

Disable Cloudflare for Your Domain

https://eig-cap-content-cdn-prod.s3.amazonaws.com/aso/img

https://help.asmallorange.com/index.php?/Knowledgebase/Article/GetAttachment/14/392234/Image/rteImages/