Lambert, 42, took the Canaries up from npower League One after being brought in from Colchester in August 2009, and then immediately on into the Barclays Premier League, where they finished a creditable 12th place. He is understood to now be in the running for the vacant Aston Villa role.
Huckerby - who played 174 times for Norwich, can understand why Lambert has been linked with other clubs, and he told TalkSPORT: "Eventually with his record and what he has done at Norwich, it looked like someone would poach him - but that is football, it has always been the same, when managers do well, they move on."
And he paid tribute to Lambert, saying: "We have got to look at the last three years, where we have come from and where we are now, and say thank you to Paul Lambert if he does go."
Should Lambert leave Carrow Road, then the likes of Birmingham boss Chris Hughton and Cardiff's Malky Mackay, a former Norwich player, would be potential candidates.
Huckerby, 26, feels the Norfolk club are an attractive proposition.
"It will probably be the same kind of thing now for Norwich, with a young manager coming up who is pushing on," he said.
"Chris Hughton and Malky Mackay, there will be a lot of candidates for the Norwich job if it does come up.
"Norwich have got a massive fan base, the club is established now, and it is a good time to be Norwich manager.
"Whoever comes in will be taking a superb job, but it will be a tough job because they are all Paul Lambert's players they have all come from the lower leagues so it is still going to be a big ask to have a successful season."
Source: PA
Source: PA