If WordPress detects that it is running under a different process than the owner of the file, it will prompt for FTP connection information. If you do not have access to chown, or perform other methods of fixing this, here are two that can be implemented if all you have is FTP and write access on your wp-config.php file.
1) Locate your WordPress root diectory and find the wp-config.php file. Edit the file and insert this somewhere in the middle as it’s own block, normally put it after the
mysql username/password block.
/*** FTP login settings ***/ define("FTP_HOST", "localhost"); define("FTP_USER", "yourftpusername"); define("FTP_PASS", "yourftppassword");
2) Another option is to define FS_METHOD in your wp-config.php file. This bypasses WordPress’s recurring prompts, and allows auto-updates of your files to happen.
Open /Wp-Config.Php Paste the following code to your wp-config.php file, preferably just below every other line of code.