Bookmakers subsequently opened up the Next Swansea Manager Market, installing Chris Coleman, Graham Potter and Chris Wilder as the early favourites for the post.
At the other end, it was all chaos and it was Swansea, West Brom and Stoke who were relegated eventually and though they deserved to be relegated for their overall performance throughout the season, certain players from the three sides did not deserve to be relegated.
"It's up to the club, I need to speak to them", Shawcross said.
"The club needs to decide who the manager is and, if it is Paul Lambert, we all need to get behind him, move forward and hopefully get back in the Premier League".
Albion's board will have tough decisions to make this summer, namely whether to give the job to caretaker boss Darren Moore, who won manager of the month for April, or to appoint a proven Championship manager.
"It's in the club's hands, and if they want to keep me I'll stay".
In two previous full seasons in the Championship Carvalhal led Sheffield Wednesday to back-to-back play-off finishes, before losing his job back in December.
Jordan Ayew suffered his second relegation in three years in England after Swansea's Premier League stay came to an abrupt end.
"I was never going to have it".
Compared to the dire straights the club was in in 2003 when they retained their Football League status in the last game of the season, Swansea are still in good shape.