By default users without administrative permissions does not have permission to install network printers.
To avoid granting users administrative permissions here's what you need to do:
Open Local Management Console (gpedit.msc) from run prompt.
Computer Configuration | Administrative Templates | Printers
In the right pane open 'Point and Print Restrictions'
Set it to 'Enabled'
On both Security prompts disable elevation prompts as in the picture below:
Navigate to Computer Configuration | Administrative Templates | System | Driver Installation
In the right pane open the following setting:
Allow non-administrators to install drivers for these device setup classes
Type the following value:
Close the management console and try to install the printer with user permissions.