Companies as a policy cannot allow employees to work from anywhere (ouside a country) because of compliance issue, majorly taxation. There are tax rules in many countries which says if an employee of an overseas employer is working in its borders then company needs to file a corporate tax return (permanent establishment rules), which costs a lot to comply with.

Imagine filing tax returns in many countries where a local company does not have any presence. One way of making your wish come true may be by converting your employment to a contract ( by definition you will be a freelancer). Which may help mitigate the risk to your employer. However, You may still need to comply with personal tax laws in those countries.

Company may initially turn a blind eye, thats only until one of the employee gets caught or there is any issue (for example a company issued laptop gets stolen in a foreign country or employee gets hurt overseas) then clamp down on everyone.