International colleagues, he said, were integral to the trust’s delivery of services.
Speaking to BBC Radio Foyle’s North West Today programme on Friday, Mr Guckian said they had noticed a stark increase in racial abuse of staff in recent months.
He said the trust felt the need to issue a statement following a “particularly unsavoury incident” in Fermanagh, which is being investigated by the police.
He did not give details of the incident.
“The health and social services in Northern Ireland – the Western Trust particularly – would be decimated if we didn’t have our international staff,” Mr Guckian said.
He said they had attracted some of the best people in the world to work here.
“As an employer with one of the most diverse workforces west of the Bann, we do all we can to support our staff,” he said.
“We have a really active ethnically diverse staff network, but we are still learning about the difficulties they go through daily.”