Chiriches signed for Tottenham from Steaua Bucharest three weeks ago, but he is yet to see any action because he had not received clearance from the authorities.
Andre Villas-Boas expressed his frustration at the delay earlier this week, but the Tottenham manager revealed after the 3-0 win over Tromso on Thursday that the centre-back has now received his papers and could feature in either of the club's next two games.
"I think it has arrived today," Villas-Boas said.
"So hopefully everything can be concluded."
Chiriches, who has been training with the squad for the last three weeks, is likely to be named as a substitute for Sunday's game at Cardiff following injuries to Danny Rose and Younes Kaboul.