Log shipping option not showing
Shyamev,

Just to make sure the database selected should be a user and not any system databases.

But in many cases we have seen this even if its user database is selected and the option of log shipping is missing.

Solution: Re-install SSMS with the Management Tools - Complete option checked.

Refer to below link:

https://social.msdn.microsoft.com/forums/sqlserver/en-US/01a0ab24-5555-4b55-b399-a866a5b09d1d/transaction-log-shipping-option-is-missing