The offer of salvation is universal, hence also intercessory prayer should be general:
Related Commentaries of 1 Timothy 2:5
1 Timothy 2:5-8
5 For there is one God, and one mediator between God and men, the man Christ Jesus;
6 Who gave himself a ransom for all, to be testified in due time.
7 Whereunto I am ordained a preacher, and an apostle, (I speak the truth in Christ, and lie not;) a teacher of the Gentiles in faith and verity.
8 I will therefore that men pray every where, lifting up holy hands, without wrath and doubting.