"It was an important day for us today", said Hughes, who was appointed on Wednesday, initially on a short-term deal, as a replacement for the sacked Mauricio Pellegrino. "Though clearly our Premier League status is a huge concern for us and we've got to retain that".
"If you don't match that, sometimes you can come unstuck, but as a outcome of matching their endeavour, we were able to show the level of quality we have above them".
"The FA Cup has been very good to me and has always figured highly in my career".
"Along with that, I think you saw today how hard we were tested by Wigan".
Wigan had defeated three Premier League teams in reaching their third FA Cup quarterfinal in six seasons, including Manchester City in the last round.
Hughes would have been disappointed at his side's first-half efforts - or lack of - but Southampton's second-half performance proved they can turn things around.
Dusan Tadic's corner was stabbed goalwards by Hojbjerg and Wigan's Dan Burn couldn't react quick enough to clear off the line.
Gabbiadini had earlier failed to beat Walton when a stray back-pass presented him with a chance from point-blank range and the Wigan goalkeeper thwarted him again with a brilliant penalty save.
Britain says it has proof Russian Federation stockpiled lethal nerve agent
However, the vote was marred by allegations of ballot stuffing, while a group of activists protested outside London's Russian Embassy.
Soares adds second on 91′.
As Southampton went down 3-0 to Newcastle United last weekend, Hojbjerg criticised himself and his teammates saying their attitude had to change, using the defeat as a turning point.
They've lost a little bit of confidence of late and that can happen but I'm really pleased with the amount of talent that I've got to work with in this group. "It's a good start for us, but that's all it is, so we have to build on this now".
"It's a challenge I'm excited by".
"We will enjoy it and try and take some positives out of it to hopefully help us in our league form as well".
"The cup has been a massive headache in the league but it has been great", said Wigan manager Paul Cook.
The windy and cold weather, and a less than Premier League quality pitch impacted the game from start to finish. "It's a massive disappointment to go out so close to Wembley but the focus now is promotion". Subs: Nathan Redmond (for Boufal, 65) 6, Shane Long (for Carrillo, 81) 6, Oriel Romeu (for Gabbiadini, 88) 5.