The SNP leader admitted the word "national" could be "hugely problematic".
Ex-Rangers Owner Detained In Mexico
Former Rangers owner Craig Whyte has been detained in Mexico.
An arrest warrant was issued a fortnight ago for the 43-year-old in connection with an investigation into the sale of Rangers Football Club in 2011.
Whyte took control of the Ibrox club in May 2011 but it went into administration in February the following year.
It is understood he was held by police yesterday.
Prosecutors in Scotland said they would take steps to ensure Whyte appears in court in Glasgow.
A Crown Office spokesman said: "We have been advised that the warrant for Craig Whyte has been executed by the Mexican authorities, and our International Co-operation Unit, working with Police Scotland's Fugitives Unit and the National Crime Agency, will take the necessary steps to secure his appearance at Glasgow Sheriff Court to answer the warrant.''
The Crown will examine the extradition treaty with Mexico and establish the legal basis for extraditing him, unless he agrees to come back.
Four men appeared in court earlier this month charged with fraudulent activity linked to the sale of the club three years ago.
Gary Withey, 50, David Whitehouse, 49, Paul Clark, 50, and David Grier, 53, were granted bail following a hearing at Glasgow Sheriff Court.
A separate arrest warrant was issued for Whyte after he failed to attend a court hearing last week at the Royal Courts of Justice in London after being ordered to pay more than £17 million to Ticketus.
A police watchdog probe was launched after the remains of the 52-year-old were found in a house in Dumfries in February last year.
The accident happened at about 7.50pm on Thursday in Moodiesburn, North Lanarkshire.
More than 70 firefighters were needed to bring the blaze under control at Blochairn Fruit Market in the early hours of Thursday.
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