Changing mysql table comment
DROP TABLE IF EXISTS test_comments;
Query OK, 0 rows affected (0.08 sec)

CREATE TABLE test_comments (ID INT, name CHAR(30)) COMMENT 'Hello World';
Query OK, 0 rows affected (0.22 sec)


Check you comments in table structure

show create table test_comments\G
*************************** 1. row ***************************
       Table: test_comments
Create Table: CREATE TABLE `test_comments` (
  `ID` int(11) DEFAULT NULL,
  `name` char(30) DEFAULT NULL
) ENGINE=InnoDB DEFAULT CHARSET=utf8 COMMENT='Hello World'
1 row in set (0.00 sec)


You can also check comments from information_schema like below

SELECT TABLE_COMMENT FROM information_schema.TABLES WHERE TABLE_NAME = 'test_comments';
+---------------+
| TABLE_COMMENT |
+---------------+
| Hello World   |
+---------------+
1 row in set (0.00 sec)


Alter table to modify comments

ALTER TABLE test_comments COMMENT = 'This is just to test how to alter comments';
Query OK, 0 rows affected (0.08 sec)
Records: 0  Duplicates: 0  Warnings: 0


Check the modified comments

show create table test_comments\G
*************************** 1. row ***************************
       Table: test_comments
Create Table: CREATE TABLE `test_comments` (
  `ID` int(11) DEFAULT NULL,
  `name` char(30) DEFAULT NULL
) ENGINE=InnoDB DEFAULT CHARSET=utf8 COMMENT='This is just to test how to alter comments'
1 row in set (0.00 sec)

SELECT TABLE_COMMENT FROM information_schema.TABLES WHERE TABLE_NAME = 'test_comments';
+--------------------------------------------+
| TABLE_COMMENT                              |
+--------------------------------------------+
| This is just to test how to alter comments |
+--------------------------------------------+
1 row in set (0.00 sec)