The only way you can install Imagemagick is if you are running a VPS/dedicated server. If you are on a shared host, then you have to either hope that they have it installed on that shared box or request them (your hosting provider) to install it, and then it is installed for everyone.
Pretty sure that GoDaddy has it https://www.godaddy.com/help/how-can-i-use-imagemagick-on-my-web-site-209
The PECL for it needs to be enabled also for the PHP processor.
ImageMagick isn't difficult to install at the command line, using yum or apt, but one needs to be cautious about the version a respective linux distro will install. Many distros install an older version.