at a guess:

sudo apt-get install mysql-client

To install only mysql (client) you should execute

yum install mysql

To install mysql client and mysql server:

yum install mysql mysql-server

sudo apt-get install mysql-client-core-5.5

Maybe try this:

yum -y groupinstall "MYSQL Database Client"

[root@localhost administrador]# yum search mysql | grep client
community-mysql.i686 : MySQL client programs and shared libraries
: client
community-mysql-libs.i686 : The shared libraries required for MySQL clients
root-sql-mysql.i686 : MySQL client plugin for ROOT
mariadb-libs.i686 : The shared libraries required for MariaDB/MySQL clients
[root@localhost administrador]# yum install  -y community-mysql

there are two ways to install mysql client on centOS.

1. First method (download rpm package)

download rpm package from mysql website https://downloads.mysql.com/archives/community/

if you download this rpm package like picture, it's filename like mysql-community-client-8.0.21-1.el8.x86_64.rpm.

then execute sudo rpm -ivh --nodeps --force mysql-community-client-8.0.21-1.el8.x86_64.rpm can install the rpm package the parameters -ivh means install, print output, don't verify and check.

if raise error, maybe version conflict, you can execute rpm -pa | grep mysql to find conflicting package, then execute rpm -e --nodeps <package name> to remove them, and install once more.

finnaly, you can execute which mysql, it's success if print /usr/bin/mysql.

2.Second method (Set repo of yum)

Please refer to this official website:

MySQL Yum Repository

A Quick Guide to Using the MySQL Yum Repository

When I now just use the command: mysql

I get: Command 'mysql' not found, but can be installed with:

sudo apt install mysql-client-core-8.0 # version 8.0.22-0ubuntu0.20.04.2, or sudo apt install mariadb-client-core-10.3 # version 1:10.3.25-0ubuntu0.20.04.1

Very helpfull.

If mysql-client is not available, you may use mariadb-client:

sudo apt-get install mariadb-client