Britain, who were beaten in the last eight by Italy last year, will take on Australia or Kazakhstan in the semi-finals if they beat the 2014 runners-up.
"Queen's will be a perfect venue," Murray said on the Lawn Tennis Association's website on Tuesday.
"I've been playing at Queen's for 10 years now, so I feel very at home there as do the rest of the British team. Fingers crossed it's a memorable summer for British tennis."
Murray has a special fondness for the London venue, having won the Wimbledon warm-up tournament there three times in his career.
Queen's will be hosting a Davis Cup tie for the first time since 1990 when Britain were thrashed 5-0 by France.
Britain reached the last eight with a 3-2 victory over the United States in Glasgow last month, Murray spearheading their efforts by beating John Isner and Donald Young in his singles matches.
The hosts have also received a boost by Slovenian-born Ajaz Bedene taking up UK citizenship at the start of April, the world number 94 immediately becoming Britain's number two ranked player.
(Writing by Tony Jimenez; Editing by John O'Brien)
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