Dear Amit,
According to me , As you are not a confirmed employee , it means either you are on Training period or In probation period . Generally in both the cases notice periods are different which is compulsorily to be mentioned in appointment letter . Coming to your query , Yes it is necessary to consider notice period in Full & Final settlement .In your case , put resignation to current employer & you have three options :-
1) You can serve the notice period as per your appointment letter .
2)You can request your current employer to waive off your notice period or adjust you leaves against the same & join the new company immediately .
3) You can pay notice period & join the new company immediately with the consent of current employer.
By doing this you'll obtain Experience Certificate , Relieving letter & other support in good faith which will help you in new coming employments.
I hope this satisfies your query.