Monday's win against Leeds United at the Lane lifted us over Aston Villa, who stayed in eighth after drawing against Newcastle United last night.
Glenn said: "We've worked hard to get into that spot and it was a realistic target for us. The hard thing will be to stay in that position.
"It's a credit to everyone at the club that we've got through the tricky time but now we have to maintain this run and take through to the end of the season.
"We've tough games but you always want challenges and that's the challenge ahead of us. If we can finish as high as we can, stay where we are or even catch anyone else if they have bad results, that's what we're aiming for."
But the boss will attempt to stay seventh with more injuries hampering his plans. Ledley King is the latest addition to the list with a calf problem sustained at Middlesbrough on Saturday.
"Our squad is depleted," Glenn pointed out. "We lost Ledley King in the morning, he had a late test and wasn't fit and Ben Thatcher had a magnificent game with a groin. He nearly didn't play.
"We have injury problems, no doubt about that, but we've shown a lot of resilience and character today and if we show that again and again, I'm sure we can finish on a high."
Glenn Hoddle reckons the hard work is ahead as we try to maintain seventh spot in the Premiership.