He wouldn't pass customs check at the border, due to standing debts and/or after-sentence probation. You can only enter Armenia with national ID if you travel by flight - but the boarding will be denied for the same reason. Travel passport is probably frozen as well. The only country he can go to is Belarus - there is no border control. But to travel from Belarus he would be required to pass the same customs check. Moreover, travelling to Belarus would be a violation of probation terms.