Eligible means that you are allowed to do or receive something by rules or laws.
If you require a work permit or visa (that you do not already hold) then you are not eligible! You may be able to obtain a visa or work permit, or you may be able to become eligible by adopting a particular procedure, but unless you are already eligible, then the potential is irrelevant. The answer to the question "are you eligible" is simply no!
If you read the answers already given. you will have a better understanding of the reasons for this.
So any idea on where you can find this information out or shall i just put down on the application to the company are you eligible to work here: YES and hope to get hired, get the papers from them submit it to the consulate and hope for the best that they approve my work visa
That should endear you to them when they find out you are not eligible. If you were eligible they wouldn't need to submit papers for a work visa.
Many countries issue work permits for vacancies that cannot be filled by the indigenous population. You may well be able to apply for such a vacancy in accordance with the terms and conditions specified by the sponsoring company. Clearly if you were already a national of that country (perhaps living abroad,) or of a country with reciprocal treaty agreements, then you would have established eligibility.
I am not sure why you keep asking the same question in the hope of getting an answer that suits you?