The England manager believes a move to the Emirates Stadium will give the 23-year-old more opportunities to progress and stake his international claim.
Danny Welbeck will benefit greatly from his switch to Arsenal, according to England manager Roy Hodgson.
The 23-year-old striker joined the Gunners from Manchester United in a 16 million pound deal in the final hours of transfer deadline day.
Welbeck, a product of United's youth academy, made just 15 Premier League starts for the club last season and was pushed further down the striking pecking order by the arrival of Colombia superstar Radamel Falcao on a lucrative one-year loan.
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Hodgson believes the move will enable Welbeck to play regular football and strengthen his case for being in the England squad.
"When you are a player of his caliber and find yourself at United with competition for places, you don't always get the starts you would like," Hodgson said ahead of England's friendly against Norway on Wednesday.
"He is going to a club where he will hopefully get more starts and playing time. It is not easy for players playing a small part in club games, then coming and playing 90 minutes for England in intense surroundings.
"So I am pleased for Danny and I think Arsenal have signed a good player."
Hodgson did not wish to offer any suggestions as to how Wenger should use Welbeck, but added that regular first-team exposure would help his cause as England boss.
"My job is with England and the players I choose," he added. "I don't wish to make any suggestions about what clubs do with their players.
"But I cannot deny the more players play and the more experience they get, especially at Champions League level, the better it is for me at international level."