The former Chelsea defender was voted the best manager in the Scottish league in back-to-back seasons. Kilmarnock finished fifth and then third under Clarke. The Scottish association says Clarke, who played six times for Scotland, signed a three-year contract through the 2022 World Cup qualifying campaign.
Scotland, which last reached a major tournament at the 1998 World Cup, made a poor start to its 2020 European Championship qualifying group but is guaranteed a playoff place from Nations League results.
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