The 23-year-old arrived in south Wales two weeks ago from New Zealand and will make his first appearance for the Welsh region at Murrayfield on Sunday.
Anscombe played mostly at outside half for his former club the Chiefs in New Zealand but will kick-off his Blues career at 15.
He said: “It was tough to leave New Zealand but this is a great opportunity for me and one that was too good to turn down.
“I’m really excited about the challenge and looking forward to getting stuck in. I’d like to play 10 in the future, I’m happy to play 15 but I’d like to put my hand up as a 10.
“It’s still early days here so I am happy just to get my shoes under the desk and get some game time. It’s probably a bit too early for me to try and call the shots from fly-half. I’m still doing my homework and getting used to the boys and how they like to play.”
Anscombe qualifies for Wales through his Cardiff-born mother Tracy, who moved to New Zealand was she was a teenager.
He played for New Zealand at under 20 level, helping them to the 2011 Junior World Championships which included the 92-0 thrashing of Wales. But he has now opted to play for Wales and insists it’s always been a big part of his heritage.
Anscombe said: “If you speak to my mum she will say I was named after Gareth Edwards. She’s still got a pretty thick Welsh accent. It’s always been drilled into me that I have fully-fledged Welsh blood.
“I’m well aware of the legends of the past Wales teams and especially the 10s. It will be a pretty proud moment for me and my mum if I can play for Wales. But I am not looking too far ahead at the moment. I know I have to play consistently well for Cardiff Blues first.”
