Hii Manikanta,

yes you can apply for APPGECET if you are permanent residency of Andhra pradesh.

the elgibility criteria for APPGECET is as follows-

Nationality- Candidates should be an Indian national. 

GATE Scores- Candidates who will qualify GATE 2019 will be eligible for direct admissions to various M.Tech programmes.

Age Criteria- There is no upper age limit. However, the lower age limit of the candidates is 21 years.

Domicile- Candidates should be a permanent resident of Andhra Pradesh or Telangana. 

Academic Qualification- Candidates must have completed their qualifying exam of B.E./ B.Tech successfully.

Minimum Marks Required- Candidates must have minimum 50% marks in their qualifying examination (for General category). Reserved category candidates should have secured 40% marks as an aggregate.

here I am providing you a link,you can check the eligibility criteria for individual college also-

https://engineering.careers360.com/articles/ap-pgecet-eligibility-criteria

hope you understand

thank you