The 26-year-old, who has joined Saints on loan until January, was a team-mate of Inverness Caledonian Thistle's Boyce while the pair were at Cliftonville.
"If you look at his career stats in the Irish League, he's scored a lot of goals," Wright told his club website.
"He's also a former team-mate of Liam Boyce, who has done well up here."
Fellow Northern Irishman Wright stressed: "They are different types of players, but Joe has the potential to do well."
Gormley had joined Peterborough from Cliftonville last summer, but he has made only seven appearances for the English League One side - one this season after recovering from a knee injury picked up in September.
"He's coming back off a significant injury, but he's fully fit and trained with us this morning," added Wright.
"I'm delighted to get a striker in.
"Joe is a player I've known from his time at Cliftonville and we were interested in him back then, but he went to Peterborough."

The deal would only go ahead if Zurich felt it was getting a fair deal, said chief executive Martin Senn.
His comments came as Zurich reported a 1% dip in net profits for the April to June quarter to $840m (Â£538m).
Separately, RSA reported pre-tax profits of Â£288m for the first half of 2015, beating analysts' estimates and dwarfing 2014's results.
RSA is amid a turnaround process under chief executive Stephen Hester.
The firm said it planned to have "substantially completed" that process by the end of the year.
Last month, Zurich said it was considering a bid for RSA, the owner of the More Than brand, which has a market value of about Â£5.3bn.
Zurich is Europe's third-largest insurer and has often been linked with a bid for RSA.
The Swiss firm said that its second quarter results were hit by "large losses" in the UK and at its global corporate business in North America, and "higher levels of catastrophe and weather related losses".

Earlier this month, she lost her presidential immunity and was dismissed from her post when the constitutional court upheld a decision by parliament to impeach her.
Ms Park is accused of allowing her close friend Choi Soon-sil to allegedly extort money from big firms.
Ms Park has denied the allegations.
The former president apologised to the public last week, before being questioned by authorities for 14 hours.
"The case is very grave as the suspect has demonstrated acts of abuse of power by making companies give money and infringing on the freedom of corporate management by using powerful position and authority as president," prosecutors said in a statement on Monday.
The prosecutors argue that evidence like computer hard drives might be destroyed if Ms Park is not arrested.
Ms Choi has been charged with bribery and corruption and is already on trial.
At the heart of the drama lies the close friendship between Ms Park and Ms Choi.
Ms Choi is accused of using her presidential connections to pressure companies to give millions of dollars in donations to non-profit foundations she controlled.
The acting head of electronics conglomerate Samsung, Lee Jae-yong, was arrested for his role in the scandal.
Ms Park, 65, is alleged to have been personally involved in this, and to have given Ms Choi unacceptable levels of access to official documents.
Parliament voted to impeach Ms Park in December.
On 10 March, the constitutional court ruled that Ms Park's actions "seriously impaired the spirit of... democracy and the rule of law".
Judges said she had broken the law by allowing Ms Choi to meddle in state affairs, and had breached guidelines on official secrets by leaking numerous documents.
Ms Park had "concealed completely Choi's meddling in state affairs and denied it whenever suspicions over the act emerged and even criticised those who raised the suspicions," the ruling said.
The Seoul Central District Court will now determine whether there are grounds to issue the arrest warrant for Ms Park.
If it is issued, prosecutors will have up to 20 days to continue investigations and file charges against her, reports Reuters news agency.
As president she had enjoyed immunity and repeatedly refused to take part in questioning.
But now she could face several charges, including abuse of power, coercion, bribery and leaking government secrets.
St Johnstone manager Tommy Wright hopes Joe Gormley will make as big an impact in Scotland as Liam Boyce after signing the Peterborough United striker.
[NEXT_CONCEPT]
The head of Swiss insurer Zurich has said he sees "significant benefits" in buying UK rival and bid target RSA.
[NEXT_CONCEPT]
South Korean prosecutors have applied for an arrest warrant for former president Park Geun-hye, for her role in a corruption scandal.