I am sure IT/IT have figured out their issues regarding both of their citizenship, it would be far too risky to take this route publicly if they had not.
but her bio says "She received Czech citizenship in 2012."
Text below is an excerpt from Rule 109 (applicable to international competitions, but not the Olympics), as cited in ISU Communication. No. 1420 -- "Citizenship / Residence requirements and Clearance Procedure." (Emphases added.)
2.a) In principle, a Skater may compete only as a member of the Member of the country of which he is a citizen;
b) a Skater may compete for the Member of the country of which he is not a citizen if he fulfils the following conditions:
i) he has resided for at least one year in that country and has been permitted to compete for that Member by the National Association of the country of which he is a citizen, or he has resided for at least one year in that country and he (or his parents if he is not of age) has applied for citizenship in that country;
ii) before July 1st immediately prior to his first International Competition as a member of the Member, he has not competed in any International Competition or ISU Championship for another Member during the twelve (12) preceding months;
iii) before July 1st immediately prior to his first ISU Championship as a member of the Member, he has not competed in any International Competition or ISU Championship for another Member during the twenty-four (24) preceding months;
iv) Any denial of a request for permit by the Member submitted in accordance with sub-paragraph (i) above may be the subject of a request to the Council by the involved Skater or any involved Member for exceptional permission as provided in paragraph 5 of this Rule;
c) in the case of a pair or an ice dance couple, one partner at least must be a citizen of the country of the ISU Member for which the pair or dance couple competes. The other partner may be a citizen or resident of a country of any other Member. The residence and permit requirements and the waiting periods stated above in paragraph 2.b, (i), (ii), and (iii) and in paragraph 3 do not apply to such partner. However, if such partner has already represented another Member, regardless of the discipline, the permit from the Member the Skater represented is required and the waiting period 12 months from the day of the last competition in which the Skater represented another Member applies;