The 22-year-old travelled to Bloomfield Road on Thursday after the two clubs agreed a fee.
The club emphasised that his departure would not affect player recruitment or the upgrade of Bloomfield Road.
The Seasiders boss made 10 changes to the side that had drawn 2-2 against Everton at Bloomfield Road on Saturday.
Blackpool have enjoyed a strong start to the new season under boss Ian Holloway and are currently undefeated at Bloomfield Road.
Barrow held a 8-6 lead at Bloomfield Road but lost control of the match in the 10 minutes up to half time.
Defender Crainey, who was voted player of the season at Bloomfield Road, was thought to be a target for Championship rivals Burnley.
Bloomfield Road is a sell-out already and the place will be rocking.
The left-back had a 10-game loan spell at Bloomfield Road in 2006 but was a key player in Stoke's promotion two years ago.
Fox's contract is up at Bloomfield Road on 30 June and he has now opted to drop down a division on a free transfer.
Lonergan is on England under-20 duty against Germany on Thursday and will then report to Bloomfield Road on Friday to complete his switch from Deepdale.
Three parts of Bloomfield Road are nice and they will use the money they generate from being promoted to finish it so it's a 20, 000 all-seater.
But with three minutes left and Bloomfield Road counting down the seconds to the final whistle, Etuhu raced clear on to Moussa Dembele's pass to beat Matt Gilks.
It took him only three minutes to light up the night at Bloomfield Road when he smashed in high past Blackpool goalkeeper Richard Kingson after he was supplied by Kelly.
He joins utility player Chris Basham, striker Marlon Harewood, French trio Ludovic Sylvestre, Elliot Grandin, Malaury Martin and defender Craig Cathcart in making the move to Bloomfield Road since May's Championship play-off victory over Cardiff.
Welbeck has enjoyed a successful season in the north east, scoring six goals in 22 appearances and although the trip to Bloomfield Road would have come too soon, Bruce expected to have his striker back for February.
Blackpool had an immediate chance to calm their nerves in the third minute in front of 12, 296 fans, the biggest crowd at Bloomfield Road for 30 years, but Adam's drilled shot was just wide of the mark.
The former Scottish international made an instant impact at Bloomfield Road last season scoring six goals in seven starts during a loan spell between January and April, including a 90th-minute winner against former club Leicester on his debut.
"I'll be up front and honest with you - I shouted at the referee coming off, " he told reporters in his pre-match news conference before the Bloomfield Road outfit's trip to Liverpool in the Premier League on 3 October.
Watford now face a two-legged play-off semi-final against Hull after Tommy Smith hit a spectacular late equaliser at Bloomfield Road to ensure a sixth-place finish by the narrowest of margins - superior goal difference on Wolves of just one goal.
After the Premier League made a delayed debut at Blackpool to allow work to be completed on Bloomfield Road's new East Stand, Fulham felt the force of the backing that Holloway hopes will play a crucial part in their attempt to survive in the top flight this season.
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