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At least a few logistics titans — including FedEx, Maersk and GXO Logistics — don't view Amazon Supply Chain Services as a major competitive threat yet.

The recently announced offering from Amazon can provide a variety of logistics services to any company, not just those selling on the e-commerce giant's marketplace, including freight transportation, parcel shipping, air freight, global logistics, distribution and fulfillment.

But Amazon Supply Chain Services and FedEx are operating "two different businesses entirely," FedEx President and CEO Raj Subramaniam said in a CNBC interview, adding that FedEx offers an end-to-end global network.

"The true network is something you can pick up in any one part of the world and get it to any other part of the world in a couple of days, and for that, you need a system like what we have here," Subramaniam said.