Conn. Practice Book § 72-1

(a) Writs of error for errors in matters of law

only may be brought from a final judgment of the

Superior Court to the Appellate Court in the following cases: (1) a decision binding on an aggrieved

nonparty; (2) a summary decision of criminal contempt; (3) a denial of transfer of a small claims

action to the regular docket; and (4) as otherwise

necessary or appropriate in aid of its jurisdiction

and agreeable to the usages and principles of law.

(b) No writ of error may be brought in any civil

or criminal proceeding for the correction of

any error where (1) the error might have been

reviewed by process of appeal, or by way of certification, or (2) the parties, by failure timely to seek

a transfer or otherwise, have consented to have

the case determined by a court or tribunal from

whose judgment there is no right of appeal or

opportunity for certification.