Gary Grant, owner of the Entertainer toy chain, said demand for the Snow Glow Elsa doll – based on the film’s main character – has been massive as parents rush to make Christmas wishes come true for their children.
Speaking to BBC Radio 5 Live, he said: “We are struggling but what I can tell you is we saw air freight come in overnight and we sent a lot of stock through mail to a number of our stores.
“A number of our stores were opening at eight o’clock this morning with Elsa dolls in stock, so it’s not like there isn’t Elsa.
“Yes, they’re in high demand, but Elsa’s stock is coming.
“I’ve been selling toys for over 30 years and I can look back and tell you – as you probably remember – about half a dozen things over all those years like Tracy Island [from Thunderbirds], like the Teletubbies and now Elsa, where the demand is completely exponential compared to other products.
“We have lined up to sell this Elsa doll with a £ 5 promotion before Christmas, we haven’t increased the price, we are limiting it to one per person because I really think it is very unfair that some parents are overcharged when buying on eBay and from other people who trade in these dolls.
“On Wednesday we put 2,000 of these dolls on our website and our website crashed twice.
“We had twice as much traffic on our website on Wednesday as we did on Black Friday – and Black Friday just a week ago was our biggest day on our website.
“The demand for these dolls is exponential but the stock is coming – parents aren’t giving up yet.”
He added that since it took 12 weeks of manufacturing and four weeks of shipping to store the toys, “what was not ordered four months ago is too late for Christmas.”
A mother, Sandra Phelan, said she tried going to toy stores and shopping online to try and get her hands on the doll for her two-and-a-half-year-old daughter.
She said: “It sells out so quickly it’s very hard to get your hands on it.”
Toy maker Jakks said of the availability of the doll, “We are working with our retail partners to deliver our most popular frozen dolls on a weekly basis.
“Due to the high demand, the dolls sell out as soon as they hit the shelves.”
Meanwhile, thousands of counterfeit Disney toys, including Frozen merchandise, were seized last month in the port of Dover.
The knockoff items, which have been confirmed by Disney as fakes, were made in China and included copies of the Queen Elsa and Princess Anna dolls.
The counterfeits had loose parts that a child could swallow and poor electrical wiring that could have resulted in electric shocks.