It's all depends on 2 things:
1. laws on your local country. for example, at my country, at law level *any* connection to the offshore company cause to deep investigation of this type of connection for question of aml, tax avoid, etc. So, in case you got loan from somebody, you need to proof it with some paper. But when this *somebody* is offshore company, you need to proof it with 10 times more different papers and you as a person going to︀ be permanently on the list of people *who act with offshore and could avoid taxes*.︁
2. Internal policies of bank that will receive money from your offshore company.
Some banks︂ could just denied such type of transaction or ask for documents that you will be︃ not able to provide. Just see topics about rietumu bank for understand how banks is︄ acting to offshore business nowadays.
But nobody know what will be for sure at exact︅ your case. Things are very different between countries, banks, type of your business in offshore,︆ etc.