.... and time on type (usually 100hrs minimum) as well. There's very little chance of getting an international job unless you already have time on S76, S92, AW139 or AS332/EC225. It's all down to oil company requirements for PICs, combined with what Canuck Guy and Um..lifting said about there being few SIC positions.
There used to be a time when US mil guys with H3 (S61) or 365 time could use those types to get in the door, but those are pretty much history and nowadays spending some time in the GOM is the only way to get experience in a viable type. Have a look at any recent CHC ad for the hrs required. Generally, none of those requirements can be bypassed.