If you have created the table using quoted identifier, then you must always use double-quotation marks wherever you refer the object.
From documentation,
Database Object Naming Rules
Every database object has a name. In a SQL statement, you represent
the name of an object with a quoted identifier or a nonquoted
identifier.
A quoted identifier begins and ends with double quotation marks ("). If you name a schema object using a quoted identifier, then you
must use the double quotation marks whenever you refer to that object.
A nonquoted identifier is not surrounded by any punctuation.
For example,
SQL> CREATE TABLE "USER"(A NUMBER);
Table created.
SQL>
SQL> SELECT COUNT(*) FROM LALIT.USER;
SELECT COUNT(*) FROM LALIT.USER
*
ERROR at line 1:
ORA-00903: invalid table name
SQL>
SQL> SELECT COUNT(*) FROM LALIT."USER";
COUNT(*)
----------
0
SQL>
So, you need to refer the table as a quoted identifier:
SELECT COUNT(*) FROM SYS0MYUSER."USER";
Update OP updated his question regarding table alias.
What's about table alias do I have to use double quotes too ?
Table alias has nothing to do with the quoted identifier.
For example,
SQL> SELECT t.* FROM LALIT."USER" t;
no rows selected
SQL>