Fox was on a visit to China, the latest instalment in long-running economic talks between China and Britain, which has taken on new importance for Britain as it looks to re-invent itself as a global trading nation after leaving the European Union in 2019.
The U.S. rejection of China's Ant Financial's acquisition of MoneyGram International Inc is the most high-profile Chinese deal to be torpedoed under the administration of U.S. President Donald Trump.
Asked whether Britain would serve as an alternative destination for such Chinese investment, Fox told Reuters in an interview that he hoped the investment relationship would "work in two directions", but that Britain would remain open.
"Of course, we would look, as other countries would do, at our security issues in terms of investment. But the UK has traditionally been an open country, welcoming of foreign direct investment. And we'll continue to do that," Fox said.
He did not comment specifically on the U.S. panel decision.
China is one of the countries with which Britain hopes to sign a free trade pact once it leaves the EU, and London and Beijing have been keen to show that Britain's withdrawal from the bloc will not affect ties.
Fox said that the issue of China's service sector openness was a "big issue" for Britain, but that there were more options than a post-Brexit free trade agreement (FTA) to get Beijing to open, including specific service sector agreements and mutual recognition deals.
"There are a whole range of tools in the box. And people tend to talk as though an FTA is the only tool we have available in terms of trade liberalisation. It's not," he said.
The focus on a "Golden Era" of relations, trumpeted by China and Britain in 2015 when then-prime minister David Cameron hosted a state visit by Chinese President Xi Jinping, has cooled under Cameron's successor, Theresa May.
In 2016, May caused a diplomatic spat by unexpectedly deciding to delay approval of a partly-Chinese funded nuclear power project. She later granted it, but not before drawing criticism from Beijing.
May is expected to visit China later this month accompanied by a business delegation, diplomatic and business sources have told Reuters, though the trip has not been formally confirmed.
(Reporting by Michael Martina; Editing by Nick Macfie)
By Michael Martina